Date: Thu, 31 Mar 11 00:07:23 GMT Subject: math-ph daily 4 new + 7 crosses received by eprepget ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Send any comments regarding submissions directly to submitter. ------------------------------------------------------------------------------ Archives at http://arxiv.org/ To unsubscribe, e-mail To: math-ph@arXiv.org, Subject: cancel ------------------------------------------------------------------------------ received by eprepget from Tue 29 Mar 11 20:00:00 GMT to Wed 30 Mar 11 20:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:1103.5759 Date: Tue, 29 Mar 2011 20:05:15 GMT (6kb) Title: A Dirichlet-type integral on spheres, applied to the fluid/gravity correspondence Authors: David D. K. Chow Categories: math-ph gr-qc hep-th math.MP Comments: 5 pages Report-no: MIFPA-11-10 \\ We evaluate an analogue of an integral of Dirichlet over the sphere S^D, but with an integrand that is independent of [(D + 1)/2] Killing coordinates. As an application, we evaluate an integral that arises when comparing a conformal fluid on S^D and black holes in (D + 2)-dimensional anti-de Sitter spacetime. \\ ( http://arxiv.org/abs/1103.5759 , 6kb) ------------------------------------------------------------------------------ \\ arXiv:1103.5920 Date: Wed, 30 Mar 2011 13:19:45 GMT (33kb) Title: Higher Extensions of Lie Algebroids and Application to Courant Algebroids Authors: Yunhe Sheng, Chenchang Zhu Categories: math-ph math.DG math.MP math.RT Comments: 34 pages \\ A Lie algebra integrates to a Lie group. In this paper, we find a "group-like" integration object for an exact Courant algebroid. The idea is that we first view an exact Courant algebroid as an extension of the tangent bundle by its coadjoint representation (up to homotopy), then we perform the integration by the usual method of integration of an extension. \\ ( http://arxiv.org/abs/1103.5920 , 33kb) ------------------------------------------------------------------------------ \\ arXiv:1103.5922 Date: Wed, 30 Mar 2011 13:31:14 GMT (25kb) Title: Universality Authors: A.B.J. Kuijlaars Categories: math-ph math.CV math.MP math.PR Comments: 33 pages, 4 figures; to appear as Chapter 6 in: Oxford Handbook of Random Matrix Theory, (G. Akemann, J. Baik, and P. Di Francesco, eds.), Oxford University Press, 2011 \\ Universality of eigenvalue spacings is one of the basic characteristics of random matrices. We give the precise meaning of universality and discuss the standard universality classes (sine, Airy, Bessel) and their appearance in unitary, orthogonal, and symplectic ensembles. The Riemann-Hilbert problem for orthogonal polynomials is one possible tool to derive universality in unitary random matrix ensembles. An overview is presented of the Deift/Zhou steepest descent analysis of the Riemann-Hilbert problem in the one-cut regular case. Non-standard universality classes that arise at singular points in the spectrum are discussed at the end. \\ ( http://arxiv.org/abs/1103.5922 , 25kb) ------------------------------------------------------------------------------ \\ arXiv:1103.6001 Date: Wed, 30 Mar 2011 17:40:19 GMT (14kb) Title: A note on an integration by parts formula for the generators of uniform translations on configuration space Authors: Florian Conrad, Tobias Kuna Categories: math-ph math.MP MSC-class: 82B21, 82C22 \\ An integration by parts formula is derived for the first order differential operator corresponding to the action of translations on the space of locally finite simple configurations of infinitely many points on R^d. As reference measures, tempered grand canonical Gibbs measures are considered corresponding to a non-constant non-smooth intensity (one-body potential) and translation invariant potentials fulfilling the usual conditions. It is proven that such Gibbs measures fulfill the intuitive integration by parts formula if and only if the action of the translation is not broken for this particular measure. The latter is automatically fulfilled in the high temperature and low intensity regime. \\ ( http://arxiv.org/abs/1103.6001 , 14kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:1103.5194 (*cross-listing*) Date: Sun, 27 Mar 2011 09:05:27 GMT (18kb) Title: Eigenvalue bounds for two-dimensional magnetic Schroedinger operators Authors: Hynek Kovarik Categories: math.SP math-ph math.MP \\ We prove that the number of negative eigenvalues of two-dimensional magnetic Schroedinger operators is bounded from above by the strength of the corresponding electric potential. Such estimates fail in the absence of a magnetic field. We also show how the corresponding upper bounds depend on the properties of the magnetic field and discuss their connection with Hardy-type inequalities. \\ ( http://arxiv.org/abs/1103.5194 , 18kb) ------------------------------------------------------------------------------ \\ arXiv:1103.5792 (*cross-listing*) Date: Tue, 29 Mar 2011 23:17:48 GMT (33kb) Title: The Friedrichs extension of the energy Laplacian Authors: Palle E. T. Jorgensen and Erin P. J. Pearse Categories: math.SP math-ph math.FA math.MP Comments: 20 pages, 0 figures MSC-class: Primary: 05C50, 37A30, 46E22, 47B15, 47B25, 47B32, 60J10. Secondary: 47B39, 46B22 \\ We study Laplace operators on infinite networks $(G,c)$, and their self-adjoint extensions. We consider the Laplacian $\Delta$ as on operator on $\ell^2(G)$ and as an operator on the Hilbert space $\mathcal{H}_\mathcal{E}$ of finite energy functions on $G$, focusing on the case when $\Delta$ is unbounded. It is known that $\Delta$ is essentially self-adjoint on its natural domain in $\ell^2(G)$, but that it is \emph{not} essentially self-adjoint on its natural domain in $\mathcal{H}_\mathcal{E}$. We characterize the Friedrichs extension of the energy Laplacian on $\mathcal{H}_\mathcal{E}$ in terms of the Laplacian on $\ell^2(G)$ and show that the spectral measures of the Laplacian on $\ell^2(G)$ and the Friedrichs extension on $\mathcal{H}_\mathcal{E}$ are mutually absolutely continuous with Radon-Nikodym derivative $\lambda$ (the spectral parameter). We give a formula for its computation and derive a number of spectral-theoretic conclusions, including applications to the effective resistance on $(G,c)$. \\ ( http://arxiv.org/abs/1103.5792 , 33kb) ------------------------------------------------------------------------------ \\ arXiv:1103.5848 (*cross-listing*) Date: Wed, 30 Mar 2011 08:29:54 GMT (40kb) Title: Laguerre and Meixner orthogonal bases in the algebra of symmetric functions Authors: Grigori Olshanski Categories: math.CO math-ph math.MP Comments: Latex, 52pp \\ Analogs of Laguerre and Meixner orthogonal polynomials in the algebra of symmetric functions are studied. This is a detailed exposition of part of the results announced in arXiv:1009.2037. The work is motivated by a connection with a model of infinite-dimensional Markov dynamics. \\ ( http://arxiv.org/abs/1103.5848 , 40kb) ------------------------------------------------------------------------------ \\ arXiv:1103.5852 (*cross-listing*) Date: Wed, 30 Mar 2011 08:56:41 GMT (30kb) Title: Loday algebroids and their supergeometric interpretation Authors: Janusz Grabowski, David Khudaverdyan, and Norbert Poncin Categories: math.DG math-ph math.MP math.RA Comments: 27 pages MSC-class: 53D17, 58A50, 17A32, 17B66 \\ A concept of Loday algebroid (and its pure algebraic version - Loday pseudoalgebra) is proposed and discussed in comparison with other similar structures present in the literature. The structure of a Loday pseudoalgebra and its natural reduction to a Lie pseudoalgebra is studied. Further, Loday algebroids are interpreted as homological vector fields on a "supercommutative manifold" and the corresponding Cartan calculus is introduced. Several examples, including Courant algebroids, Grassmann-Dorfman and twisted Courant-Dorfman brackets, as well as algebroids induced by Nambu-Poisson structures, are given. \\ ( http://arxiv.org/abs/1103.5852 , 30kb) ------------------------------------------------------------------------------ \\ arXiv:1103.5855 (*cross-listing*) Date: Wed, 30 Mar 2011 09:24:00 GMT (223kb) Title: The FEM approach to the 3D electrodiffusion on 'meshes' optimized with the Metropolis algorithm Authors: Ilona D. Kosinska (Wroclaw University of Technology, Institute of Biomedical Engineering and Instrumentation, Poland) Categories: cs.CG cs.CE math-ph math.MP Comments: 16 pages, 7 figures MSC-class: 74S05, 35Qxx \\ The presented article contains a 3D mesh generation routine optimized with the Metropolis algorithm. The procedure enables to produce meshes of a prescribed volume V_0 of elements. The finite volume meshes are used with the Finite Element approach. The FEM analysis enables to deal with a set of coupled nonlinear differential equations that describes the electrodiffusional problem. Mesh quality and accuracy of FEM solutions are also examined. High quality of FEM type space-dependent approximation and correctness of discrete approximation in time are ensured by finding solutions to the 3D Laplace problem and to the 3D diffusion equation, respectively. Their comparison with analytical solutions confirms accuracy of obtained approximations. \\ ( http://arxiv.org/abs/1103.5855 , 223kb) ------------------------------------------------------------------------------ \\ arXiv:1103.5862 (*cross-listing*) Date: Wed, 30 Mar 2011 09:58:22 GMT (23kb) Title: On the geometry of K\"ahler-Poisson structures Authors: Joakim Arnlind and Gerhard Huisken Categories: math.DG hep-th math-ph math.MP \\ We prove that the Riemannian geometry of almost K\"ahler submanifolds can be expressed in terms of the Poisson algebra of smooth functions on the manifold. Subsequently, K\"ahler-Poisson algebras are introduced, and it is shown that a purely algebraic theory of geometry and curvature can be developed. As an illustration of the new concepts we show that if the sectional curvature is independent of the choice of tangent plane, then it Poisson commutes with all elements in the algebra, and prove that a bound on the Ricci curvature induces a bound on the eigenvalues of the Laplace operator. \\ ( http://arxiv.org/abs/1103.5862 , 23kb) ------------------------------------------------------------------------------ \\ arXiv:1103.6015 (*cross-listing*) Date: Wed, 30 Mar 2011 19:12:35 GMT (235kb) Title: Microlocal analysis of scattering data for nested conormal potentials Authors: Suresh Eswarathasan Categories: math.AP math-ph math.MP Comments: 52 pages, 1 figure \\ Working in the time domain, we show that the location of the singularities and the principal symbol of a potential that is conormal to nested submanifolds $S_2 \subset S_1 \subset \mathbb{R}^n$, for $n \geq 3$, can be recovered from the backscattering as well as from the restriction of the far-field pattern to more general determined sets of scattering data. This extends the work of Greenleaf and Uhlmann where the potentials considered are conormal to a single submanifold $S \subset \mathbb{R}^n$. We utilize the microlocal analysis of the wave operator $\square=\partial_t^2 - \triangle_x$ and multiplication by a nested conormal distribution in order to study their action on spaces of conormal-like distributions. \\ ( http://arxiv.org/abs/1103.6015 , 235kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:0712.3656 replaced with revised version Wed, 30 Mar 2011 10:52:53 GMT (41kb) Title: Langevin molecular dynamics derived from Ehrenfest dynamics Authors: Anders Szepessy Categories: math-ph math.MP math.PR Comments: 39 pages: modeling and analysis in separate sections. Formulation of initial data simplified MSC-class: 82C31 (Primary), 60H10, 82C10 (Secondary) \\ ( http://arxiv.org/abs/0712.3656 , 41kb) ------------------------------------------------------------------------------ \\ arXiv:0907.2246 (*cross-listing*) replaced with revised version Wed, 30 Mar 2011 09:05:18 GMT (60kb) Title: Homotopy Batalin-Vilkovisky algebras Authors: Imma Galvez-Carrillo, Andy Tonks, Bruno Vallette Categories: math.QA math-ph math.AT math.MP Comments: Last version before publication. To appear in Journal of Noncommutative Geometry. 57 pages \\ ( http://arxiv.org/abs/0907.2246 , 60kb) ------------------------------------------------------------------------------ \\ arXiv:1009.1639 (*cross-listing*) replaced with revised version Tue, 29 Mar 2011 20:04:42 GMT (20kb) Title: Asymptotic Analysis of Orthogonal Polynomials via the Transfer Matrix Approach Authors: Manwah Lilian Wong Categories: math.CA math-ph math.MP math.SP \\ ( http://arxiv.org/abs/1009.1639 , 20kb) ------------------------------------------------------------------------------ \\ arXiv:1010.6223 replaced with revised version Wed, 30 Mar 2011 12:07:09 GMT (3474kb,D) Title: Interaction of an interfacial crack with linear micro-defects under out-of-plane shear loading Authors: Gennady Mishuris, Alexander Movchan, Natasha Movchan, Andrea Piccolroaz Categories: math-ph math.MP Comments: 10 pages, 4 figures, added references, corrected typos, slightly changed introduction and conclusion \\ ( http://arxiv.org/abs/1010.6223 , 3474kb) ------------------------------------------------------------------------------ \\ arXiv:1011.6499 replaced with revised version Wed, 30 Mar 2011 19:48:18 GMT (32kb) Title: A rigorous proof of the Landau-Peierls formula and much more Authors: Philippe Briet (CPT), Horia D. Cornean (Math. Dept., Aalborg University), Baptiste Savoie (CPT) Categories: math-ph cond-mat.quant-gas math.MP Comments: 30 pages - Accepted for publication in A.H.P \\ ( http://arxiv.org/abs/1011.6499 , 32kb) ------------------------------------------------------------------------------ \\ arXiv:1012.2430 (*cross-listing*) replaced with revised version Wed, 30 Mar 2011 03:51:26 GMT (16kb) Title: Sp(2) Renormalization Authors: Peter M. Lavrov Categories: hep-th math-ph math.MP Comments: Typos corrected, refs added, V3 Journal version \\ ( http://arxiv.org/abs/1012.2430 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:1012.2618 replaced with revised version Wed, 30 Mar 2011 06:25:09 GMT (5kb) Title: Reduce and Solve Boltzmann Equation on a Global Lie Group Authors: Lang Xia Categories: math-ph math.AP math.MP Comments: This paper has been withdrawn \\ ( http://arxiv.org/abs/1012.2618 , 5kb) ------------------------------------------------------------------------------ \\ arXiv:1101.1591 (*cross-listing*) replaced with revised version Wed, 30 Mar 2011 08:20:55 GMT (4kb) Title: Gauge semi-simple extension of the Poincar\'e group Authors: Dmitrij V. Soroka and Vyacheslav A. Soroka Categories: hep-th math-ph math.MP Comments: Latex, 4 pages. Correction of misprints \\ ( http://arxiv.org/abs/1101.1591 , 4kb) ------------------------------------------------------------------------------ \\ arXiv:1102.4361 replaced with revised version Wed, 30 Mar 2011 18:25:20 GMT (51kb,D) Title: Nonholonomic Hamilton-Jacobi Theory via Chaplygin Hamiltonization Authors: Tomoki Ohsawa, Oscar E. Fernandez, Anthony M. Bloch, Dmitry V. Zenkov Categories: math-ph math.DS math.MP math.SG Comments: Accepted for publication in Journal of Geometry and Physics MSC-class: 70F25, 70H06, 70H20 \\ ( http://arxiv.org/abs/1102.4361 , 51kb) ------------------------------------------------------------------------------ \\ arXiv:1103.4461 replaced with revised version Wed, 30 Mar 2011 08:20:57 GMT (10kb) Title: Semi-classical trace formulas and heat expansions Authors: Yves Colin De Verdi\`ere (IF) Categories: math-ph math.MP math.SP \\ ( http://arxiv.org/abs/1103.4461 , 10kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- 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