Date: Thu, 29 Jan 09 01:00:36 GMT Subject: math-ph daily 5 new + 6 crosses received by eprepget ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Send any complaints regarding submissions directly to submitter. ------------------------------------------------------------------------------ Point your www client at http://arXiv.org/ To unsubscribe, e-mail To: math-ph@arXiv.org, Subject: cancel ------------------------------------------------------------------------------ received by eprepget from Tue 27 Jan 09 21:00:01 GMT to Wed 28 Jan 09 21:00:01 GMT ------------------------------------------------------------------------------ \\ arXiv:0901.4381 Date: Wed, 28 Jan 2009 01:04:32 GMT (18kb) Title: How model sets can be determined by their two-point and three-point correlations Authors: Xinghua Deng, Robert V. Moody Categories: math-ph math.MP math.SP Comments: 18 pages MSC-class: 78A02; 60G55 \\ We show that real model sets with real internal spaces are determined, up to translation and changes of density zero by their two- and three-point correlations. We also show that there exist pairs of real (even one dimensional) aperiodic model sets with internal spaces that are products of real spaces and finite cyclic groups whose two- and three-point correlations are identical but which are not related by either translation or inversion of their windows. All these examples are pure point diffractive. Placed in the context of ergodic uniformly discrete point processes, the result is that real point processes of model sets based on real internal windows are determined by their second and third moments. \\ ( http://arxiv.org/abs/0901.4381 , 18kb) ------------------------------------------------------------------------------ \\ arXiv:0901.4389 Date: Wed, 28 Jan 2009 12:48:09 GMT (16kb) Title: Spectral fluctuation properties of constrained unitary ensembles of Gaussian-distributed random matrices Authors: Z. Pluhar and H. A. Weidenmueller Categories: math-ph math.MP Comments: 15 pages MSC-class: 15-xx:15A52 \\ We investigate the spectral fluctuation properties of constrained ensembles of random matrices (defined by the condition that a number N(Q) of matrix elements vanish identically; that condition is imposed in unitarily invariant form) in the limit of large matrix dimension. We show that as long as N(Q) is smaller than a critical value (at which the quadratic level repulsion of the Gaussian unitary ensemble of random matrices may be destroyed) all spectral fluctuation measures have the same form as for the Gaussian unitary ensemble. \\ ( http://arxiv.org/abs/0901.4389 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:0901.4471 Date: Wed, 28 Jan 2009 14:30:29 GMT (13kb) Title: Classification of two and three dimensional Lie super-bialgebras Authors: A. Eghbali, F. Heidarpour and A. Rezaei-Aghdam Categories: math-ph math.MP Comments: 18 pages MSC-class: 17B62; 17B70; 17B01; 17B30 \\ Using adjoint representation of Lie superalgebras, we write the matrix form of super Jacobi and mixed super Jacobi identities of Lie super-bialgebras. Then through direct calculations of these identities and use of automorphism supergroups of two and three dimensional Lie superalgebras, we obtain and classify all two and three dimensional Lie super-bialgebras. \\ ( http://arxiv.org/abs/0901.4471 , 13kb) ------------------------------------------------------------------------------ \\ arXiv:0901.4472 Date: Wed, 28 Jan 2009 14:32:31 GMT (209kb) Title: Spectral Singularities of Complex Scattering Potentials and Infinite Reflection and Transmission Coefficients at real Energies Authors: Ali Mostafazadeh Categories: math-ph math.MP Comments: 4 pages, 1 figure \\ Spectral singularities are spectral points that spoil the completeness of the eigenfunctions of certain non-Hermitian Hamiltonian operators. We identify spectral singularities of complex scattering potentials with the real energies at which the reflection and transmission coefficients tend to infinity, i.e., they correspond to resonances having a zero width. We show that a wave guide modeled using such a potential operates like a resonator at the frequencies of spectral singularities. As a concrete example, we explore the spectral singularities of an imaginary PT-symmetric barrier potential that is used in the description of certain electromagnetic wave guides. \\ ( http://arxiv.org/abs/0901.4472 , 209kb) ------------------------------------------------------------------------------ \\ arXiv:0901.4501 Date: Wed, 28 Jan 2009 16:51:28 GMT (22kb) Title: Some properties of deformed $q$-numbers Authors: Thierry C. Petit Lob\~ao, Pedro G. S. Cardoso, Suani T. R. Pinho, Ernesto P. Borges Categories: math-ph math.MP Comments: 8 pages, 1 eps figure MSC-class: 16Wxx; 08A05 \\ Nonextensive statistical mechanics has been a source of investigation in mathematical structures such as deformed algebraic structures. In this work, we present some consequences of $q$-operations on the construction of $q$-numbers for all numerical sets. Based on such a construction, we present a new product that distributes over the $q$-sum. Finally, we present different patterns of $q$-Pascal's triangles, based on $q$-sum, whose elements are $q$-numbers. \\ ( http://arxiv.org/abs/0901.4501 , 22kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:0901.4109 (*cross-listing*) Date: Mon, 26 Jan 2009 21:03:27 GMT (1419kb) Title: Kink-Antikink Formation from an Oscillation Mode by Sudden Distortion of the Evolution Potential Authors: C. S. Carvalho and L. Perivolaropoulos Categories: hep-ph astro-ph.CO cond-mat.other hep-th math-ph math.MP Comments: 8 pages, 9 figures. The Mathematica files used for the production of the figures may be downloaded from http://leandros.physics.uoi.gr/partkinks.zip \\ We demonstrate numerically that an oscillation mode in 1+1 dimensions (eg a breather or an oscillon) can decay into a kink-antikink pair by a sudden distortion of the evolution potential which occurs within a certain time or space domain. In particular, we consider the transition of a sine-Gordon potential into a \Phi^4 potential. The breather field configuration is assumed to initially evolve in a sine-Gordon potential with velocity $v$ and oscillation frequency $\omega$. We then consider two types of numerical experiments: a. An abrupt transition of the potential to a $\Phi^4$ form at t_0=0 over the whole 1-dimensional lattice and b. The impact of the breather on a region x>x_0=0 where the potential has the \Phi^4 form which is different from the sine-Gordon form valid at xn is a sharp density condition on the lattices generating Gabor Frames with the nth Hermite window, proving thus a conjecture made by Gr\"{o}chenig and Lyubarskii. This shows, in a constructive way, that the critical density of Gabor frames can be arbitrarily large. \\ ( http://arxiv.org/abs/0901.4386 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:0901.4393 (*cross-listing*) Date: Wed, 28 Jan 2009 02:42:21 GMT (37kb) Title: Excited against the tide: A random walk with competing drifts Authors: Mark Holmes Categories: math.PR math-ph math.MP Comments: 10 pages MSC-class: 60K35; 82B41 \\ We study a random walk that has a drift $\frac{\beta}{d}$ to the right when located at a previously unvisited vertex and a drift $\frac{\mu}{d}$ to the left otherwise. We prove that in high dimensions, for every $\mu$, the drift to the right is a strictly increasing and continuous function of $\beta$, and that there is precisely one value $\beta_0(\mu,d)$ for which the resulting speed is zero. \\ ( http://arxiv.org/abs/0901.4393 , 37kb) ------------------------------------------------------------------------------ \\ arXiv:0901.4412 (*cross-listing*) Date: Wed, 28 Jan 2009 08:20:53 GMT (36kb) Title: Analysis of a General Family of Regularized Navier-Stokes and MHD Models Authors: Michael Holst, Evelyn Lunasin, Gantumur Tsogtgerel Categories: math.AP math-ph math.MP Comments: 32 pages \\ We consider a general family of regularized Navier-Stokes and Magnetohydrodynamics (MHD) models on n-dimensional smooth compact Riemannian manifolds with or without boundary, with n greater than or equal to 2. This family captures most of the specific regularized models that have been proposed and analyzed in the literature, including the Navier-Stokes equations, the Navier-Stokes-alpha model, the Leray-alpha model, the Modified Leray-alpha model, the Simplified Bardina model, the Navier-Stokes-Voight model, the Navier-Stokes-alpha-like models, and certain MHD models, in addition to representing a larger 3-parameter family of models not previously analyzed. We give a unified analysis of the entire three-parameter family using only abstract mapping properties of the principle dissipation and smoothing operators, and then use specific parameterizations to obtain the sharpest results. We first establish existence and regularity results, and under appropriate assumptions show uniqueness and stability. We then establish results for singular perturbations, including the inviscid and alpha limits. Next we show existence of a global attractor for the general model, and give estimates for its dimension. We finish by establishing some results on determining operators for subfamilies of dissipative and non-dissipative models. In addition to establishing a number of results for all models in this general family, the framework recovers most of the previous results on existence, regularity, uniqueness, stability, attractor existence and dimension, and determining operators for well-known members of this family. \\ ( http://arxiv.org/abs/0901.4412 , 36kb) ------------------------------------------------------------------------------ \\ arXiv:0901.4520 (*cross-listing*) Date: Wed, 28 Jan 2009 18:18:56 GMT (66kb,D) Title: Universality of the Pearcey process Authors: Mark Adler, Nicolas Orantin, Pierre van Moerbeke Categories: math.PR math-ph math.MP \\ Consider non-intersecting Brownian motions on the line leaving from the origin and forced to two arbitrary points. Letting the number of Brownian particles tend to infinity, and upon rescaling, there is a point of bifurcation, where the support of the density of particles goes from one interval to two intervals. In this paper, we show that at that very point of bifurcation a cusp appears, near which the Brownian paths fluctuate like the Pearcey process. This is a universality result within this class of problems. Tracy and Widom obtained such a result in the symmetric case, when the two target points are symmetric with regard to the origin. This asymmetry enabled us to improve considerably a result concerning the non-linear partial differential equations governing the transition probabilities for the Pearcey process, obtained by Adler and van Moerbeke. \\ ( http://arxiv.org/abs/0901.4520 , 66kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:0807.4740 (*cross-listing*) replaced with revised version Wed, 28 Jan 2009 08:28:35 GMT (24kb) Title: Multivariable Bessel polynomials related to the hyperbolic Sutherland model with external Morse potential Authors: Martin Halln\"as Categories: math.QA math-ph math.CA math.MP Comments: a few minor misprints corrected \\ ( http://arxiv.org/abs/0807.4740 , 24kb) ------------------------------------------------------------------------------ \\ arXiv:0808.0227 replaced with revised version Wed, 28 Jan 2009 07:41:05 GMT (67kb) Title: Algebraic Bethe ansatz approach to the asymptotic behavior of correlation functions Authors: N. Kitanine (LPTM), K. K. Kozlowski (Phys-ENS), J. M. Maillet (Phys-ENS), N. A. Slavnov (SMI), V. Terras (Phys-ENS, LPTA) Categories: math-ph cond-mat.stat-mech hep-th math.MP Comments: 78 pages \\ ( http://arxiv.org/abs/0808.0227 , 67kb) ------------------------------------------------------------------------------ \\ arXiv:0811.1713 replaced with revised version Wed, 28 Jan 2009 15:47:19 GMT (17kb) Title: Pair and Impar, Even and Odd Form Fields and Electromagnetism Authors: Roldao da Rocha, Waldyr A. Rodrigues Jr Categories: math-ph math.MP physics.class-ph Comments: 17 pages; some few misprints have been corrected, two remarks have been added MSC-class: 58A10, 15A66 \\ ( http://arxiv.org/abs/0811.1713 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:0811.2666 replaced with revised version Wed, 28 Jan 2009 14:15:00 GMT (287kb) Title: Causal Variational Principles on Measure Spaces Authors: Felix Finster Categories: math-ph math.MP Comments: 47 pages, LaTeX, 3 figures, few typos corrected \\ ( http://arxiv.org/abs/0811.2666 , 287kb) ------------------------------------------------------------------------------ \\ arXiv:0901.2424 replaced with revised version Wed, 28 Jan 2009 13:53:26 GMT (10kb) Title: A new type of critical behaviour in random matrix models Authors: R. Flume and A. Klitz Categories: math-ph math.MP Comments: 5 pages, 1 figure, v2: reference added, JSTAT News & Perspectives Journal-ref: J. Stat. Mech. (2008) N10001 DOI: 10.1088/1742-5468/2008/10/N10001 \\ ( http://arxiv.org/abs/0901.2424 , 10kb) ------------------------------------------------------------------------------ \\ arXiv:0901.4064 replaced with revised version Wed, 28 Jan 2009 17:05:14 GMT (8kb) Title: Quantum counterparts of 3d Lie algebras Authors: E. Paal and J. Virkepu Categories: math-ph math.MP \\ ( http://arxiv.org/abs/0901.4064 , 8kb) ------------------------------------------------------------------------------ \\ arXiv:0901.4264 replaced with revised version Wed, 28 Jan 2009 19:02:15 GMT (8kb) Title: VII$^{\hbar}_a$, III$_{a=1}^{\hbar}$, VI$_{a\neq1}^{\hbar}$ Authors: E. Paal and J. Virkepu Categories: math-ph math.MP \\ ( http://arxiv.org/abs/0901.4264 , 8kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- For subscribe options to combined physics archives, e-mail To: physics@arXiv.org, Subject: subscribe ----------------------------------------------------------------------------- For help on viewing and making submissions, see http://arXiv.org/help/ For a list of archive mirror sites, see http://arXiv.org/servers.html ----------------------------------------------------------------------------- Third-party submissions cause excessive problems. Author self-submissions are exceedingly preferred. E-mail submissions have been discontinued in favor of better support for Web submissions. See http://arXiv.org/help/uploads