Date: Wed, 4 Apr 12 00:08:58 GMT Subject: math daily 80 new + 15 crosses received ------------------------------------------------------------------------------ ------------------------------------------------------------------------------ Send any comments regarding submissions directly to submitter. ------------------------------------------------------------------------------ See http://front.math.ucdavis.edu/ for a math specific front-end or point your web browser at http://arxiv.org/ for the generic front-end. To unsubscribe, e-mail To: math@arXiv.org, Subject: cancel ------------------------------------------------------------------------------ received from Mon 2 Apr 12 20:00:00 GMT to Tue 3 Apr 12 20:00:00 GMT ------------------------------------------------------------------------------ \\ arXiv:1204.0529 Date: Mon, 2 Apr 2012 20:34:13 GMT (22kb) Title: Local-in-space estimates near initial time for weak solutions of the Navier-Stokes equations and forward self-similar solutions Authors: Hao Jia, Vladim\'ir \v{S}ver\'ak Categories: math.AP Comments: 26 pages \\ We show that the classical Cauchy problem for the incompressible 3d Navier-Stokes equations with $(-1)$-homogeneous initial data has a global scale-invariant solution which is smooth for positive times. Our main technical tools are local-in-space regularity estimates near the initial time, which are of independent interest. \\ ( http://arxiv.org/abs/1204.0529 , 22kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0530 Date: Mon, 2 Apr 2012 20:34:55 GMT (9kb) Title: The coarse geometry of the Kakimizu complex Authors: Jesse Johnson, Roberto Pelayo and Robin Wilson Categories: math.GN Comments: 11 pages MSC-class: 57M \\ We show that the Kakimizu complex of minimal genus Seifert surfaces for a knot in the 3-sphere is quasi-isometric to a Euclidean integer lattice $\mathbb Z^n$ for some $n \geq 0$. \\ ( http://arxiv.org/abs/1204.0530 , 9kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0533 Date: Mon, 2 Apr 2012 20:51:57 GMT (155kb,D) Title: Bondage number of grid graphs Authors: Magda Dettlaff, Magdalena Lemanska and Ismael G. Yero Categories: math.CO Comments: 20 pages MSC-class: 05C12, 05C76 \\ The bondage number $b(G)$ of a nonempty graph $G$ is the cardinality of a smallest set of edges whose removal from $G$ results in a graph with domination number greater than the domination number of $G$. Here we study the bondage number of some grid-like graphs. In this sense, we obtain some bounds or exact values of the bondage number of some Cartesian product, strong product or direct product of two paths. \\ ( http://arxiv.org/abs/1204.0533 , 155kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0537 Date: Mon, 2 Apr 2012 21:12:18 GMT (15kb) Title: A Derived Equivalence for some Twisted Projective Homogeneous Varieties Authors: Mark Blunk Categories: math.AG Comments: 16 pages MSC-class: 20G15, 14M17 \\ In this paper we construct a tilting sheaf for Severi-Brauer Varieties and Involution Varieties. This sheaf relates the derived category of each variety to the derived category of modules over a ring whose semisimple component consists of the Tits algebras of the corresponding linear algebraic group. \\ ( http://arxiv.org/abs/1204.0537 , 15kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0540 Date: Mon, 2 Apr 2012 21:26:57 GMT (25kb) Title: Change of measure in the lookdown particle system Authors: Olivier H\'enard (CERMICS) Categories: math.PR Comments: 24 pages \\ We perform various changes of measure in the lookdown particle system of Donnelly and Kurtz. The first example is a product type h-transform related to conditioning a Generalized Fleming Viot process without mutation on coexistence of some genetic types in remote time. We give a pathwise construction of this h-transform by just "forgetting" some reproduction events in the lookdown particle system. We also provide an intertwining relationship for the Wright Fisher diffusion and explicit the associated pathwise decomposition. The second example, called the linear or additive h-transform, concerns a wider class of measure valued processes with spatial motion. Applications include: -a simple description of the additive h-transform of the Generalized Fleming Viot process, which confirms a suggestion of Overbeck for the usual Fleming Viot process -an immortal particle representation for the additive h-transform of the Dawson Watanabe process. \\ ( http://arxiv.org/abs/1204.0540 , 25kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0541 Date: Mon, 2 Apr 2012 21:28:11 GMT (19kb) Title: The Energy-Momentum tensor on low dimensional $\Spinc$ manifolds Authors: Georges Habib, Roger Nakad Categories: math.DG \\ On a compact surface endowed with any $\Spinc$ structure, we give a formula involving the Energy-Momentum tensor in terms of geometric quantities. A new proof of a B\"{a}r-type inequality for the eigenvalues of the Dirac operator is given. The round sphere $\mathbb{S}^2$ with its canonical $\Spinc$ structure satisfies the limiting case. Finally, we give a spinorial characterization of immersed surfaces in $\mathbb{S}^2\times \mathbb{R}$ by solutions of the generalized Killing spinor equation associated with the induced $\Spinc$ structure on $\mathbb{S}^2\times \mathbb{R}$ \\ ( http://arxiv.org/abs/1204.0541 , 19kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0543 Date: Mon, 2 Apr 2012 21:37:49 GMT (45kb) Title: A Structure Theorem for Poorly Anticoncentrated Gaussian Chaoses and Applications to the Study of Polynomial Threshold Functions Authors: Daniel M. Kane Categories: math.PR cs.CC MSC-class: 60G15, 68R05 \\ We prove a structural result for degree-$d$ polynomials. In particular, we show that any degree-$d$ polynomial, $p$ can be approximated by another polynomial, $p_0$, which can be decomposed as some function of polynomials $q_1,...,q_m$ with $q_i$ normalized and $m=O_d(1)$, so that if $X$ is a Gaussian random variable, the probability distribution on $(q_1(X),...,q_m(X))$ does not have too much mass in any small box. Using this result, we prove improved versions of a number of results about polynomial threshold functions, including producing better pseudorandom generators, obtaining a better invariance principle, and proving improved bounds on noise sensitivity. \\ ( http://arxiv.org/abs/1204.0543 , 45kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0544 Date: Mon, 2 Apr 2012 21:44:09 GMT (113kb,D) Title: Dengue in Cape Verde: vector control and vaccination Authors: Helena Sofia Rodrigues, M. Teresa T. Monteiro, Delfim F. M. Torres Categories: math.OC q-bio.PE Comments: This is a preprint of a paper whose final and definite form will appear in Mathematical Population Studies. Paper submitted 03-Oct-2011; revised several times; accepted for publication 2-April-2012 MSC-class: 34H05, 92D30 \\ In 2009, for the first time in Cape Verde, an outbreak of dengue was reported and over twenty thousand people were infected. Only a few prophylactic measures were taken. The effects of vector control on disease spreading, such as insecticide (larvicide and adulticide) and mechanical control, as well as an hypothetical vaccine, are estimated through simulations with the Cape Verde data. \\ ( http://arxiv.org/abs/1204.0544 , 113kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0545 Date: Mon, 2 Apr 2012 22:01:57 GMT (16kb) Title: Constant curvature solutions of Grassmannian sigma models: (1) Holomorphic solutions Authors: Laurent Delisle, Veronique Hussin and Wojtek J. Zakrzewski Categories: math-ph math.MP Comments: 14 pages \\ We present a general formula for the Gaussian curvature of curved holomorphic 2-spheres in Grassmannian manifolds G(m, n). We then show how to construct such solutions with constant curvature. We also make some relevant conjectures for the admissible constant curvatures in G(m, n) and give some explicit expressions, in particular, for G(2, 4) and G(2, 5). \\ ( http://arxiv.org/abs/1204.0545 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0551 Date: Mon, 2 Apr 2012 23:09:41 GMT (13kb) Title: Reflexive Operator Algebras on Banach Spaces Authors: Florence Merlev\`ede, Costel Peligrad, Magda Peligrad Categories: math.FA math.OA Comments: 15 pages MSC-class: 47B48, 47A15, 47C05 \\ In this paper we study the reflexivity of a unital strongly closed algebra of operators with complemented invariant subspace lattice on a Banach space. We prove that if such an algebra contains a complete Boolean algebra of projections of finite uniform multiplicity and with the direct sum property, then it is reflexive, i.e. it contains every operator that leaves invariant every closed subspace in the invariant subspace lattice of the algebra. In particular, such algebras coincide with their bicommutant. \\ ( http://arxiv.org/abs/1204.0551 , 13kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0555 Date: Mon, 2 Apr 2012 23:33:50 GMT (3654kb,D) Title: Nonlinear dynamo in a short Taylor-Couette setup Authors: C. Nore, J.-L. Guermond, R. Laguerre, J. Leorat, F. Luddens Categories: math.NA physics.flu-dyn MSC-class: 65N30, 76E25, 76W05 \\ It is numerically demonstrated by means of a magnetohydrodynamics code that a short Taylor-Couette setup with a body force can sustain dynamo action. The magnetic threshold is comparable to what is usually obtained in spherical geometries. The linear dynamo is characterized by a rotating equatorial dipole. The nonlinear regime is characterized by fluctuating kinetic and magnetic energies and a tilted dipole whose axial component exhibits aperiodic reversals during the time evolution. These numerical evidences of dynamo action in a short Taylor-Couette setup may be useful for developing an experimental device. \\ ( http://arxiv.org/abs/1204.0555 , 3654kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0556 Date: Mon, 2 Apr 2012 23:36:08 GMT (365kb) Title: Decomposition Methods for Large Scale LP Decoding Authors: Siddharth Barman and Xishuo Liu and Stark C. Draper and Benjamin Recht Categories: cs.IT math.IT math.OC Comments: 31 pages, 8 figures. An early version of this work appeared at the 49th Annual Allerton Conference, September 2011 \\ When binary linear error-correcting codes are used over symmetric channels, a relaxed version of the maximum likelihood decoding problem can be stated as a linear program (LP). This LP decoder can be used to decode at bit-error-rates comparable to state-of-the-art belief propagation (BP) decoders, but with significantly stronger theoretical guarantees. However, LP decoding when implemented with standard LP solvers does not easily scale to the block lengths of modern error correcting codes. In this paper we draw on decomposition methods from optimization theory, specifically the Alternating Directions Method of Multipliers (ADMM), to develop efficient distributed algorithms for LP decoding. The key enabling technical result is a nearly linear time algorithm for two-norm projection onto the parity polytope. This allows us to use LP decoding, with all its theoretical guarantees, to decode large-scale error correcting codes efficiently. We present numerical results for two LDPC codes. The first is the rate-0.5 [2640,1320] "Margulis" code, the second a rate-0.77 [1057.244] code. The "waterfall" region of LP decoding is seen to initiate at a slightly higher signal-to-noise ratio than for sum-product BP, however an error-floor is not observed for either code, which is not the case for BP. Our implementation of LP decoding using ADMM executes as quickly as our baseline sum-product BP decoder, is fully parallelizable, and can be seen to implement a type of message-passing with a particularly simple schedule. \\ ( http://arxiv.org/abs/1204.0556 , 365kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0562 Date: Tue, 3 Apr 2012 00:13:34 GMT (339kb,D) Title: Atomic norm denoising with applications to line spectral estimation Authors: Badri Narayan Bhaskar and Gongguo Tang and Benjamin Recht Categories: cs.IT math.IT Comments: 25 pages, 4 figures. A preliminary version of this work appeared in the Proceedings of the 49th Annual Allerton Conference in September 2011 \\ The sub-Nyquist estimation of line spectra is a classical problem in signal processing, but currently popular subspace-based techniques have few guarantees in the presence of noise and rely on a priori knowledge about system model order. Motivated by recent work on atomic norms in inverse problems, we propose a new approach to line spectral estimation that provides theoretical guarantees for the mean-squared-error performance in the presence of noise and without advance knowledge of the model order. We propose an abstract theory of denoising with atomic norms and specialize this theory to provide a convex optimization problem for estimating the frequencies and phases of a mixture of complex exponentials with guaranteed bounds on the mean-squared error. We show that the associated convex optimization problem, called "Atomic norm Soft Thresholding" (AST), can be solved in polynomial time via semidefinite programming. For very large scale problems we provide an alternative, efficient algorithm, called "Discretized Atomic norm Soft Thresholding" (DAST), based on the Fast Fourier Transform that achieves nearly the same error rate as that guaranteed by the semidefinite programming approach. We compare both AST and DAST with Cadzow's canonical alternating projection algorithm and demonstrate that AST outperforms DAST which outperforms Cadzow in terms of mean-square reconstruction error over a wide range of signal-to-noise ratios. For very large problems DAST is considerably faster than both AST and Cadzow. \\ ( http://arxiv.org/abs/1204.0562 , 339kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0563 Date: Tue, 3 Apr 2012 00:21:14 GMT (27kb) Title: Empirical Estimators for Stochastically Forced Nonlinear Systems: Observability, Controllability and the Invariant Measure Authors: Jake Bouvrie and Boumediene Hamzi Categories: math.OC Comments: An abbreviated version of this report will appear in Proc. American Control Conference (ACC), Montreal, Canada, 2012 \\ We introduce a data-based approach to estimating key quantities which arise in the study of nonlinear control systems and random nonlinear dynamical systems. Our approach hinges on the observation that much of the existing linear theory may be readily extended to nonlinear systems - with a reasonable expectation of success - once the nonlinear system has been mapped into a high or infinite dimensional feature space. In particular, we develop computable, non-parametric estimators approximating controllability and observability energy functions for nonlinear systems, and study the ellipsoids they induce. In all cases the relevant quantities are estimated from simulated or observed data. It is then shown that the controllability energy estimator provides a key means for approximating the invariant measure of an ergodic, stochastically forced nonlinear system. \\ ( http://arxiv.org/abs/1204.0563 , 27kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0568 Date: Tue, 3 Apr 2012 01:14:59 GMT (39kb) Title: Time-Inconsistent Optimal Control Problems and the Equilibrium HJB Equation Authors: Jiongmin Yong Categories: math.OC math.AP math.PR Comments: 51 pages MSC-class: 93E20, 49L20, 49N10, 49N70, 35Q93 \\ A general time-inconsistent optimal control problem is considered for stochastic differential equations with deterministic coefficients. Under suitable conditions, a Hamilton-Jacobi-Bellman type equation is derived for the equilibrium value function of the problem. Well-posedness and some properties of such an equation is studied, and time-consistent equilibrium strategies are constructed. As special cases, the linear-quadratic problem and a generalized Merton's portfolio problem are investigated. \\ ( http://arxiv.org/abs/1204.0568 , 39kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0573 Date: Tue, 3 Apr 2012 02:17:44 GMT (7kb) Title: Generalized Measures of Edge Fault Tolerance in (n,k)-star Graphs Authors: Xiang-Jun Li and Jun-Ming Xu Categories: math.CO Comments: 7 pages, 5 refrences \\ This paper considers a kind of generalized measure $\lambda_s^{(h)}$ of fault tolerance in the $(n,k)$-star graph $S_{n,k}$ for $2\leqslant k \leqslant n-1$ and $0\leqslant h \leqslant n-k$, and determines $\lambda_s^{(h)}(S_{n,k})=\min\{(n-h-1)(h+1), (n-k+1)(k-1)\}$, which implies that at least $\min\{(n-k+1)(k-1),(n-h-1)(h+1)\}$ edges of $S_{n,k}$ have to remove to get a disconnected graph that contains no vertices of degree less than $h$. This result shows that the $(n,k)$-star graph is robust when it is used to model the topological structure of a large-scale parallel processing system. \\ ( http://arxiv.org/abs/1204.0573 , 7kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0574 Date: Tue, 3 Apr 2012 02:20:09 GMT (439kb) Title: Phase lagging model of brain response to external stimuli - modeling of single action potential Authors: Karthik Seetharaman, Hamidreza Namazi, Vladimir V.Kulish Categories: math-ph math.MP q-bio.NC Comments: 19 pages \\ In this paper we detail a phase lagging model of brain response to external stimuli. The model is derived using the basic laws of physics like conservation of energy law. This model eliminates the paradox of instantaneous propagation of the action potential in the brain. The solution of this model is then presented. The model is further applied in the case of a single neuron and is verified by simulating a single action potential. The results of this modeling are useful not only for the fundamental understanding of single action potential generation, but also they can be applied in case of neuronal interactions where the results can be verified against the real EEG signal. \\ ( http://arxiv.org/abs/1204.0574 , 439kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0576 Date: Tue, 3 Apr 2012 02:42:45 GMT (427kb) Title: Diffusion Based Modeling of Human Brain Response to External Stimuli Authors: Hamidreza Namazi, Vladimir V.Kulish Categories: math.AP q-bio.NC Comments: 20 pages \\ Human brain response is the overall ability of the brain in analyzing internal and external stimuli in the form of transferred energy to the mind/brain phase-space and thus, making the proper decisions. During the last decade scientists discovered about this phenomenon and proposed some models based on computational, biological, or neuropsychological methods. Despite some advances in studies related to this area of the brain research there was less effort which have been done on the mathematical modeling of the human brain response to external stimuli. This research is devoted to the modeling of human EEG signal, as an alert state of overall human brain activity monitoring, due to receiving external stimuli, based on fractional diffusion equation. The results of this modeling show very good agreement with the real human EEG signal and thus, this model can be used as a strong representative of the human brain activity. \\ ( http://arxiv.org/abs/1204.0576 , 427kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0579 Date: Tue, 3 Apr 2012 02:56:32 GMT (41kb) Title: Modularity lifting results in parallel weight one and applications to the Artin conjecture: the tamely ramified case Authors: Payman L Kassaei, Shu Sasaki, Yichao Tian Categories: math.NT math.AG Comments: 35 pages MSC-class: Primary [11F80, 11F33, 11F41], Secondary [11G18, 14G35, 14G22] \\ We extend the modularity lifting result of the arXiv:1111.2804 to allow Galois representations with some ramification at p. We also prove modularity mod 2 and 5 of certain Galois representations. We use these results to prove many new cases of the strong Artin conjecture over totally real fields in which 5 is unramified. \\ ( http://arxiv.org/abs/1204.0579 , 41kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0586 Date: Tue, 3 Apr 2012 03:43:45 GMT (27kb) Title: Constructing higher dimensional local fields Authors: Matthew Morrow Categories: math.AG math.AC math.NT \\ This note is a gentle introduction to higher dimensional local fields, with the motivating problem being the standard geometric "localisation-completion" process by which they can be constructed. A direct proof of the behaviour of this construction, which is the simplest part of the theory of higher dimensional adeles, will hopefully be useful to both specialists and newcomers. \\ ( http://arxiv.org/abs/1204.0586 , 27kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0590 Date: Tue, 3 Apr 2012 04:07:01 GMT (64kb,D) Title: Linear System Identification via Atomic Norm Regularization Authors: Parikshit Shah, Badri Narayan Bhaskar, Gongguo Tang and Benjamin Recht Categories: math.OC cs.IT math.IT Comments: 17 pages, 3 figures \\ This paper proposes a new algorithm for linear system identification from noisy measurements. The proposed algorithm balances a data fidelity term with a norm induced by the set of single pole filters. We pose a convex optimization problem that approximately solves the atomic norm minimization problem and identifies the unknown system from noisy linear measurements. This problem can be solved efficiently with standard, freely available software. We provide rigorous statistical guarantees that explicitly bound the estimation error (in the H_2-norm) in terms of the stability radius, the Hankel singular values of the true system and the number of measurements. These results in turn yield complexity bounds and asymptotic consistency. We provide numerical experiments demonstrating the efficacy of our method for estimating linear systems from a variety of linear measurements. \\ ( http://arxiv.org/abs/1204.0590 , 64kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0597 Date: Tue, 3 Apr 2012 05:06:17 GMT (14kb) Title: Arc index of pretzel knots of type $(-p,q,r)$ Authors: Hwa Jeong Lee, Gyo Taek Jin Categories: math.GT Comments: 10 pages, 7 figures, 2 tables MSC-class: 57M27, 57M25 \\ We computed the arc index for the pretzel knots $K=P(-p,q,r)$ with $p,q,r\ge2$, $r\geq q$ and at most one of $p,q,r$ is even. If $q=2$, then the arc index $\alpha(K)$ equals the minimal crossing number $c(K)$. If $p\ge3$ and $q=3$, then $\alpha(K)=c(K)-1$. If $p\ge5$ and $q=4$, then $\alpha(K)=c(K)-2$. \\ ( http://arxiv.org/abs/1204.0597 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0598 Date: Tue, 3 Apr 2012 05:09:50 GMT (13kb) Title: Symmetries of Julia sets of polynomial skew products on C^2 Authors: Kohei Ueno Categories: math.DS Comments: 18 pages MSC-class: 32H50 (primary), 37C80, 37H99 (secondary) \\ We consider the symmetries of Julia sets of polynomial skew products on C^2, which are birationally conjugate to rotational products. Our main results give the classification of the polynomial skew products whose Julia sets have infinitely many symmetries. \\ ( http://arxiv.org/abs/1204.0598 , 13kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0601 Date: Tue, 3 Apr 2012 05:53:59 GMT (28kb) Title: Double Bruhat Cells in Kac-Moody Groups and Integrable Systems Authors: Harold Williams Categories: math.QA math-ph math.CO math.MP math.RT Comments: 30 pages \\ We construct a family of integrable Hamiltonian systems parametrized by pairs of Coxeter elements in the affine Weyl group. Their phase spaces are double Bruhat cells in the corresponding Kac-Moody groups, and their Hamiltonians are characters of evaluation representations. We derive the relativistic periodic Toda lattice as a special case. In the process we extend several known results on double Bruhat cells in semisimple Lie groups to arbitrary symmetrizable Kac-Moody groups, and study the Poisson-Lie theory of ind-algebraic groups. \\ ( http://arxiv.org/abs/1204.0601 , 28kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0602 Date: Tue, 3 Apr 2012 05:56:05 GMT (41kb) Title: Stability conditions and extremal contractions Authors: Yukinobu Toda Categories: math.AG Comments: 51 pages MSC-class: 18E30, 14E30 \\ We show that any extremal contraction from a smooth projective variety with dimension less than or equal to three appears as a moduli space of (semi)stable objects in the derived category of coherent sheaves. \\ ( http://arxiv.org/abs/1204.0602 , 41kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0604 Date: Tue, 3 Apr 2012 06:06:23 GMT (70kb) Title: Integral geometry of complex space forms Authors: Andreas Bernig, Joseph H.G. Fu, Gil Solanes Categories: math.DG Comments: 67 pages MSC-class: 53C65 \\ Using the language of Alesker's theory of valuations on manifolds, a thorough account of the integral geometry of the complex space forms is given. The local kinematic formulas on complex space forms are computed explicitly using algebraic and geometric methods. These formulas yield previously unknown global kinematic formulas on complex projective and complex hyperbolic spaces. As a special case, we recover and extend Gray's tube formulas and put them into a more conceptual setting. Some basic facts about integral geometry in general Riemannian isotropic spaces are also established. \\ ( http://arxiv.org/abs/1204.0604 , 70kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0605 Date: Tue, 3 Apr 2012 06:32:04 GMT (66kb) Title: Triple Representation Theorem for homogeneous effect algebras Authors: Josef Niederle and Jan Paseka Categories: math.LO MSC-class: 03G12 06D35 06F25 81P10 \\ The aim of our paper is to prove the Triple Representation Theorem, which was established by Jen\v{c}a in the setting of complete lattice effect algebras, for a special class of homogeneous effect algebras, namely TRT-effect algebras. This class includes complete lattice effect algebras, sharply dominating Archimedean atomic lattice effect algebras and homogeneous orthocomplete effect algebras. \\ ( http://arxiv.org/abs/1204.0605 , 66kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0606 Date: Tue, 3 Apr 2012 06:48:27 GMT (124kb) Title: Anisotropic Function Spaces on Singular Manifolds Authors: Herbert Amann Categories: math.FA math.AP math.DG Comments: 96 pages MSC-class: 46E35, 54C35, 58A99, 58D99, 58J99 \\ A rather complete investigation of anisotropic Bessel potential, Besov, and H\"older spaces on cylinders over (possibly) noncompact Riemannian manifolds with boundary is carried out. The geometry of the underlying manifold near its 'ends' is determined by a singularity function which leads naturally to the study of weighted function spaces. Besides of the derivation of Sobolev-type embedding results, sharp trace theorems, point-wise multiplier properties, and interpolation characterizations particular emphasize is put on spaces distinguished by boundary conditions. This work is the fundament for the analysis of time-dependent partial differential equations on singular manifolds. \\ ( http://arxiv.org/abs/1204.0606 , 124kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0607 Date: Tue, 3 Apr 2012 06:59:15 GMT (255kb) Title: Triple Representation Theorem for orthocomplete homogeneous effect algebras Authors: Josef Niederle and Jan Paseka Categories: math.LO MSC-class: 03G12 06D35 06F25 81P10 \\ The aim of our paper is twofold. First, we thoroughly study the set of meager elements $M(E)$, the set of sharp elements $S(E)$ and the center $C(E)$ in the setting of meager-orthocomplete homogeneous effect algebras $E$. Second, we prove the Triple Representation Theorem for sharply dominating meager-orthocomplete homogeneous effect algebras, in particular orthocomplete homogeneous effect algebras. \\ ( http://arxiv.org/abs/1204.0607 , 255kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0609 Date: Tue, 3 Apr 2012 07:29:56 GMT (6kb) Title: A determinant of generalized Fibonacci numbers Authors: Christian Krattenthaler and Antonio M. Oller-Marc\'en Categories: math.NT math.CO MSC-class: 11B39, 05A10, 05A19, 11C20 \\ We evaluate a determinant of generalized Fibonacci numbers, thus providing a common generalization of several determinant evaluation results that have previously appeared in the literature, all of them extending Cassini's identity for Fibonacci numbers. \\ ( http://arxiv.org/abs/1204.0609 , 6kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0612 Date: Tue, 3 Apr 2012 07:34:14 GMT (4kb) Title: Modification in Silling's Peridynamic Formulation of Elasticity Theory for Discontinuities and Long-Range Forces Authors: R. V. R. Pandya Categories: math-ph math.MP Comments: 4 pages. Submitted on April 3, 2012 \\ We suggest modified version of Silling's peridynamic equation of motion within the framework of Silling's peridynamics formulation (J. Mech. Phys. Solids {\bf 48}, pp.175-209, 2000) of elasticity theory. The modified equation contains an additional damping force term. This term can eliminate artificial oscillations in displacement field at large values of time as predicted by Silling's peridynamic equation. \\ ( http://arxiv.org/abs/1204.0612 , 4kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0620 Date: Tue, 3 Apr 2012 08:16:27 GMT (12kb) Title: Some Remarks On Essentially Normal Submodules Authors: Ronald G. Douglas and Kai Wang Categories: math.FA MSC-class: 47A13, 46E22, 46H25, 47A53 \\ Given a *-homomorphism $\sigma: C(M)\to \mathscr{L}(\mathcal{H})$ on a Hilbert space $\mathcal{H}$ for a compact metric space $M$, a projection $P$ onto a subspace $\mathcal{P}$ in $\mathcal{H}$ is said to be essentially normal relative to $\sigma$ if $[\sigma(\varphi),P]\in \mathcal{K}$ for $\varphi\in C(M)$, where $\mathcal{K}$ is the ideal of compact operators on $\mathcal{H}$. In this note we consider two notions of span for essentially normal projections $P$ and $Q$, and investigate when they are also essentially normal. First, we show the representation theorem for two projections, and relate these results to Arveson's conjecture for the closure of homogenous polynomial ideals on the Drury-Arveson space. Finally, we consider the relation between the relative position of two essentially normal projections and the $K$ homology elements defined for them. \\ ( http://arxiv.org/abs/1204.0620 , 12kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0623 Date: Tue, 3 Apr 2012 08:41:38 GMT (64kb) Title: Stability of Stationary Wave Maps from a Curved Background to a Sphere Authors: Sohrab M. Shahshahani Categories: math.AP \\ We study time and space equivariant wave maps from $M\times\RR\rightarrow S^2,$ where $M$ is diffeomorphic to a two dimensional sphere and admits an action of SO(2) by isometries. We assume that metric on $M$ can be written as $dr^2+f^2(r)d\theta^2$ away from the two fixed points of the action, where the curvature is positive, and prove that stationary (time equivariant) rotationally symmetric (of any rotation number) smooth wave maps exist and are stable in the energy topology. The main new ingredient in the construction, compared with the case where $M$ is isometric to the standard sphere (considered by Shatah and Tahvildar-Zadeh \cite{ST1}), is the the use of triangle comparison theorems to obtain pointwise bounds on the fundamental solution on a curved background. \\ ( http://arxiv.org/abs/1204.0623 , 64kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0629 Date: Tue, 3 Apr 2012 09:12:49 GMT (14kb) Title: Existence des diviseurs dicritiques, d'apr\`es S.S.Abhyankar Authors: Vincent Cossart and Micka\"el Matusinski Categories: math.AG Comments: 10 pages \\ In geometric terms, given a singular foliation of the plane, a dicritical divisor is (whenever it exists) an irreducible component of the exceptional divisor which is transverse to the foliation. Abhyankar gave recently a definition of the dicritical divisors which generalize and algebraicize the geometrical definition in the local case and the polynomial case. Following his work, we give a geometrical interpretation of these dicritical divisors and new proofs of their existence. \\ ( http://arxiv.org/abs/1204.0629 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0636 Date: Tue, 3 Apr 2012 09:37:35 GMT (55kb) Title: Matrix algorithm for determination of the elementary paths and elementary circuits using exotic semirings Authors: Gheorghe Ivan Categories: math.CO cs.DM Comments: 12 pages, 1 figure MSC-class: 16Y60, 15A09, 05C20 \\ We propose a new method for determining the elementary paths and elementary circuits in a directed graph. Also, the Hamiltonian paths and Hamiltonian circuits are enumerated. \\ ( http://arxiv.org/abs/1204.0636 , 55kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0637 Date: Tue, 3 Apr 2012 09:40:55 GMT (15kb) Title: Efficient Discretization of Stochastic Integrals Authors: Masaaki Fukasawa Categories: math.PR q-fin.CP q-fin.PM \\ Sharp asymptotic lower bounds of the expected quadratic variation of discretization error in stochastic integration are given. The theory relies on inequalities for the kurtosis and skewness of a general random variable which are themselves seemingly new. Asymptotically efficient schemes which attain the lower bounds are constructed explicitly. The result is directly applicable to practical hedging problem in mathematical finance; it gives an asymptotically optimal way to choose rebalancing dates and portofolios with respect to transaction costs. The asymptotically efficient strategies in fact reflect the structure of transaction costs. In particular a specific biased rebalancing scheme is shown to be superior to unbiased schemes if transaction costs follow a convex model. The problem is discussed also in terms of the exponential utility maximization. \\ ( http://arxiv.org/abs/1204.0637 , 15kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0639 Date: Tue, 3 Apr 2012 09:53:24 GMT (32kb) Title: FunctionaL Regular Variation of L\'evy-driven Multivariate Mixed Moving Average Processes Authors: Robert Stelzer, Martin Moser Categories: math.PR MSC-class: 60G51, 60G70 \\ We consider the functional regular variation in the space $\mathbb{D}$ of c\`adl\`ag functions of multivariate mixed moving average (MMA) processes of the type $X_t = \int\int f(A, t - s) \Lambda (d A, d s)$. We give sufficient conditions for an MMA process $(X_t)$ to have c\`adl\`ag sample paths. As our main result, we prove that $(X_t)$ is regularly varying in $\mathbb{D}$ if the driving L\'evy basis is regularly varying and the kernel function $f$ satisfies certain natural (continuity) conditions. Finally, the special case of supOU processes, which are used, e.g., in applications in finance, is considered in detail. \\ ( http://arxiv.org/abs/1204.0639 , 32kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0640 Date: Tue, 3 Apr 2012 09:56:37 GMT (22kb) Title: A Gamma-convergence approach to large deviations Authors: Mauro Mariani Categories: math.PR math.FA MSC-class: 60F10 \\ A rigorous connection between large deviations theory and Gamma-convergence is established. Applications include representations formulas for rate functions, a contraction principle for measurable maps, a large deviations principle for coupled systems and a second order Sanov theorem. \\ ( http://arxiv.org/abs/1204.0640 , 22kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0642 Date: Tue, 3 Apr 2012 10:13:26 GMT (191kb,D) Title: The Poincar\'e-Hopf Theorem for relative braid classes Authors: Simone Muna\`o and Rob Vandervorst Categories: math.SG \\ Braid Floer homology is an invariant of proper relative braid classes. Closed integral curves of 1-periodic Hamiltonian vector fields on the 2-disc may be regarded as braids. If the Braid Floer homology of associated proper relative braid classes is non-trivial, then additional closed integral curves of the Hamiltonian equations are forced via a Morse type theory. In this article we show that certain information contained in the braid Floer homology - the Euler-Floer characteristic - also forces closed integral curves and periodic points of arbitrary vector fields and diffeomorphisms and leads to a Poincar\'e-Hopf type Theorem. The Euler-Floer characteristic for any proper relative braid class can be computed via a finite cube complex that serves as a model for the given braid class. The results in this paper are restricted to the 2-disc, but can be extend to two-dimensional surfaces (with or without boundary). \\ ( http://arxiv.org/abs/1204.0642 , 191kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0644 Date: Tue, 3 Apr 2012 10:20:34 GMT (65kb,D) Title: Domination related parameters in rooted product graphs Authors: Dorota Kuziak, Magdalena Lemanska and Ismael G. Yero Categories: math.CO Comments: 16 pages MSC-class: 05C12, 05C76 \\ A set $S$ of vertices of a graph $G$ is a dominating set in $G$ if every vertex outside of $S$ is adjacent to at least one vertex belonging to $S$. A domination parameter of $G$ is related to those sets of vertices of a graph satisfying some domination property together with other conditions on the vertices of $G$. Here, we investigate several domination related parameters in rooted product graphs. \\ ( http://arxiv.org/abs/1204.0644 , 65kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0645 Date: Tue, 3 Apr 2012 10:20:59 GMT (157kb) Title: Complete enumeration of small realizable oriented matroids Authors: Komei Fukuda, Hiroyuki Miyata and Sonoko Moriyama Categories: math.CO Comments: 18 pages, 2 figures \\ Enumeration of all combinatorial types of point configurations and polytopes is a fundamental problem in combinatorial geometry. Although many studies have been done, most of them are for 2-dimensional and non-degenerate cases. Finschi and Fukuda (2001) published the first database of oriented matroids including degenerate (i.e. non-uniform) ones and of higher ranks. In this paper, we investigate algorithmic ways to classify them in terms of realizability, although the underlying decision problem of realizability checking is NP-hard. As an application, we determine all possible combinatorial types (including degenerate ones) of 3-dimensional configurations of 8 points, 2-dimensional configurations of 9 points and 5-dimensional configurations of 9 points. We could also determine all possible combinatorial types of 5-polytopes with 9 vertices. \\ ( http://arxiv.org/abs/1204.0645 , 157kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0647 Date: Tue, 3 Apr 2012 10:26:45 GMT (16kb) Title: Coloring, location and domination of corona graphs Authors: I. Gonz\'alez Yero, D. Kuziak and A. Rond\'on Aguilar Categories: math.CO Comments: 18 pages MSC-class: 05C12, 05C76 \\ A vertex coloring of a graph $G$ is an assignment of colors to the vertices of $G$ such that every two adjacent vertices of $G$ have different colors. A coloring related property of a graphs is also an assignment of colors or labels to the vertices of a graph, in which the process of labeling is done according to an extra condition. A set $S$ of vertices of a graph $G$ is a dominating set in $G$ if every vertex outside of $S$ is adjacent to at least one vertex belonging to $S$. A domination parameter of $G$ is related to those structures of a graph satisfying some domination property together with other conditions on the vertices of $G$. In this article we study several mathematical properties related to coloring, domination and location of corona graphs. We investigate the distance-$k$ colorings of corona graphs. Particularly, we obtain tight bounds for the distance-2 chromatic number and distance-3 chromatic number of corona graphs, throughout some relationships between the distance-$k$ chromatic number of corona graphs and the distance-$k$ chromatic number of its factors. Moreover, we give the exact value of the distance-$k$ chromatic number of the corona of a path and an arbitrary graph. On the other hand, we obtain bounds for the Roman dominating number and the locating-domination number of corona graphs. We give closed formulaes for the $k$-domination number, the distance-$k$ domination number, the independence domination number, the domatic number and the idomatic number of corona graphs. \\ ( http://arxiv.org/abs/1204.0647 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0648 Date: Tue, 3 Apr 2012 10:26:54 GMT (1138kb) Title: Asymptotic behaviour and numerical approximation of optimal eigenvalues of the Robin Laplacian Authors: Pedro R. S. Antunes, Pedro Freitas and James B. Kennedy Categories: math.SP MSC-class: 35P15, 35J05, 49Q10, 65N25 \\ We consider the problem of minimising the $n^{th}-$eigenvalue of the Robin Laplacian in $\mathbb{R}^{N}$. Although for $n=1,2$ and a positive boundary parameter $\alpha$ it is known that the minimisers do not depend on $\alpha$, we demonstrate numerically that this will not always be the case and illustrate how the optimiser will depend on $\alpha$. We derive a Wolf-Keller type result for this problem and show that optimal eigenvalues grow at most with $n^{1/N}$, which is in sharp contrast with the Weyl asymptotics for a fixed domain. We further show that the gap between consecutive eigenvalues does go to zero as $n$ goes to infinity. Numerical results then support the conjecture that for each $n$ there exists a positive value of $\alpha_{n}$ such that the $n^{\rm th}$ eigenvalue is minimised by $n$ disks for all $0<\alpha<\alpha_{n}$ and, combined with analytic estimates, that this value is expected to grow with $n^{1/N}$. \\ ( http://arxiv.org/abs/1204.0648 , 1138kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0649 Date: Tue, 3 Apr 2012 10:30:21 GMT (20kb) Title: Necessary conditions for variational regularization schemes Authors: Dirk Lorenz and Nadja Worliczek Categories: math.FA MSC-class: 49N45, 54A10, 54A20 \\ We study variational regularization methods in a general framework, more precisely those methods that use a discrepancy and a regularization functional. While several sets of sufficient conditions are known to obtain a regularization method, we start with an investigation of the converse question: What are necessary conditions for a variational method to provide a regularization method? To this end, we formalize the notion of a variational scheme and compare three different instances of variational methods. Then we focus on the data space model and investigate the role and interplay of the topological structure, the convergence notion and the discrepancy functional. Especially, we deduce necessary conditions for the discrepancy functional to fulfill usual continuity assumptions. \\ ( http://arxiv.org/abs/1204.0649 , 20kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0659 Date: Tue, 3 Apr 2012 11:29:26 GMT (35kb) Title: Analytic torsion and L^2-torsion of compact locally symmetric manifolds Authors: Werner Mueller and Jonathan Pfaff Categories: math.SP math.RT Comments: 44 pages MSC-class: 58J52 \\ In this paper we study the analytic torsion and the $L^2$-torsion of compact locally symmetric manifolds. We consider the analytic torsion with respect to representations of the fundamental group which are obtained by restriction of irreducible representations of the group of isometries of the underlying symmetric space. The main purpose is to study the asymptotic behavior of the analytic torsion with respect to sequences of representations associated to rays of highest weights. \\ ( http://arxiv.org/abs/1204.0659 , 35kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0663 Date: Tue, 3 Apr 2012 11:45:32 GMT (67kb) Title: Information geometry and the hydrodynamical formulation of quantum mechanics Authors: Mathieu Molitor Categories: math.DG MSC-class: 81P99, 94A15, 62B10, 53B35, 58B10, 37K99 \\ Let (M,g) be a compact, connected and oriented Riemannian manifold. We denote D the space of smooth probability density functions on M. In this paper, we show that the Frechet manifold D is equipped with a Riemannian metric g^{D} and an affine connection \nabla^{D} which are infinite dimensional analogues of the Fisher metric and exponential connection in the context of information geometry. More precisely, we use Dombrowski's construction together with the couple (g^{D},\nabla^{D}) to get a (non-integrable) almost Hermitian structure on D, and we show that the corresponding fundamental 2-form is a symplectic form from which it is possible to recover the usual Schrodinger equation for a quantum particle living in M. These results echo a recent paper of the author where it is stressed that the Fisher metric and exponential connection are related (via Dombrowski's construction) to Kahler geometry and quantum mechanics in finite dimension. \\ ( http://arxiv.org/abs/1204.0663 , 67kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0664 Date: Tue, 3 Apr 2012 11:48:26 GMT (169kb) Title: Loewy filtration and quantum de Rham cohomology over quantum divided power algebra Authors: Haixia Gu and Naihong Hu Categories: math.RT math.QA Comments: 26 pages MSC-class: Primary 17B10, 17B37, 20G05, 20G42, 81R50, Secondary 14F40, 81T70 \\ As a continuation of \cite{HU}, we explore the submodule structures of the quantum divided power algebra $\mathcal{A}_q(n)$ introduced in \cite{HU} and its truncated objects $\mathcal{A}_q(n, \bold m)$. We develop an "intertwinedly-lifting" method to prove the indecomposability of a module when its socle is semisimple. We describe the Loewy filtrations for all the homogeneous subspaces $\mathcal{A}^{(s)}_q(n)$ or $\mathcal{A}_q^{(s)}(n, \bold m)$, determine their Loewy layers and dimensions, and prove their rigidity. From our realization model for a class of indecomposable modules for $\mathfrak{u}_q(\mathfrak{sl}_n)$, we derive an interesting combinatorial identity. Furthermore, we construct the quantum Grassmann algebra $\Omega_q(n)$ over $\mathcal{A}_q(n)$ and the quantum de Rham complex $(\Omega_q(n), d^\bullet)$ via defining the appropriate $q$-differentials, as well as its subcomplex $(\Omega_q(n,\bold m), d^\bullet)$. For the latter, we decompose the corresponding quantum de Rham cohomology modules as the direct sum of some sign-trivial $\mathfrak{u}_q(\mathfrak{sl}_n)$-modules. \\ ( http://arxiv.org/abs/1204.0664 , 169kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0665 Date: Tue, 3 Apr 2012 11:52:42 GMT (37kb) Title: A Stochastic Smoothing Algorithm for Semidefinite Programming Authors: Alexandre d'Aspremont, Noureddine El Karoui Categories: math.OC MSC-class: 90C22, 90C15, 47A75 \\ We use a rank one Gaussian perturbation to derive a smooth stochastic approximation of the maximum eigenvalue function. We then combine this smoothing result with an optimal smooth stochastic optimization algorithm to produce an efficient method for solving maximum eigenvalue minimization problems. We show that the complexity of this new method is lower than that of deterministic smoothing algorithms in certain precision/dimension regimes. \\ ( http://arxiv.org/abs/1204.0665 , 37kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0667 Date: Tue, 3 Apr 2012 11:54:57 GMT (6kb) Title: Connectivity Threshold of Random Geometric Graphs with Cantor Distributed Vertices Authors: Antar Bandyopadhyay and Farkhondeh Sajadi Categories: math.PR Comments: 6 pages \\ For connectivity of \emph{random geometric graphs}, where there is no density for underlying distribution of the vertices, we consider $n$ i.i.d. \emph{Cantor} distributed points on $[0,1]$. We show that for this random geometric graph, the connectivity threshold $R_{n}$, converges almost surely to a constant $1-2\phi$ where $0 < \phi < 1/2$, which for standard Cantor distribution is 1/3. We also show that $\| R_n - (1 - 2 \phi) \|_1 \sim 2 \, C(\phi)\, n^{-1/d_{\phi}}$ where $C(\phi) > 0$ is a constant and $d_{\phi} := - {\log 2}/{\log \phi}$ is a the \emph{Hausdorff dimension} of the generalized Cantor set with parameter $\phi$. \\ ( http://arxiv.org/abs/1204.0667 , 6kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0668 Date: Tue, 3 Apr 2012 11:55:56 GMT (85kb) Title: Selected problems on elliptic equations involving measures Authors: Augusto C. Ponce Categories: math.AP math.CA math.FA Comments: 143 pages; manuscript submitted to the concours annuel 2012 of the Acad\'emie royale de Belgique MSC-class: 35J15, 35J57, 35J61, 35J75, 28A78, 32U20 \\ This monograph concerns linear and nonlinear Dirichlet problems involving L^1 data and more generally measure data, based on Stampacchia's definition of weak solution. We explain some of the main tools: linear regularity theory, maximum principles, Kato's inequality, method of sub and supersolutions, and the Perron method. The nonlinear Dirichlet problem need not have a solution for every finite measure. We give characterizations of measures for which the problem has a solution with polynomial and exponential nonlinearities in connection with capacities and Hausdorff measures. Finally, we give a different approach to study the concept of reduced measure introduced by Brezis, Marcus and Ponce. \\ ( http://arxiv.org/abs/1204.0668 , 85kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0680 Date: Tue, 3 Apr 2012 12:50:12 GMT (558kb) Title: On the divergence of time-dependent perturbation theory applied to laser-induced molecular transitions: Analytical calculations (1) Authors: Klaus Renziehausen Categories: math-ph math.MP physics.chem-ph physics.comp-ph quant-ph Comments: 38 pages, 11 EPS-figures, uses dsfont.sty, iopart.cls and iopart12.clo, a shorted version of this article is to be published in the Journal of Physical Mathematics (Ashdin Publishing) \\ Shaped laser pulses are a powerful tool to induce population transfer between electronic molecular states, and time-dependent perturbation theory is suitable for a description of such a transfer in weak external fields. The application of perturbation theory in numerical simulations of field matter interactions can lead to divergences. In a recent paper [K. Renziehausen et. al., J. Phys. B: At. Mol. Opt. Phys., 42:195402, 2009] we explained that the arising error in the norm of the wave function can be split into two parts. The first part is related to numerical errors caused by the discretisation of time that is required in the simulation and can be suppressed for a sufficiently small time step or abolished for an adequate numerical implementation of perturbation theory. The second part may cause divergences and is associated with the perturbative expansion order. We presented numerical evidence without any analytical proof. Here we are focussing on the derivation of analytical expressions to interpret the behavior of what we have called in the above mentioned paper 'simple algorithm'. The derivation of analytical expressions for the interpretation of what we have called in the above mentioned paper 'improved algorithm' are given in another paper [K. Renziehausen. arXiv, in preparation, 2012]. Moreover, we introduce here a gedankenexperiment to illustrate the influence of the different orders on the field-molecule interaction. \\ ( http://arxiv.org/abs/1204.0680 , 558kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0682 Date: Tue, 3 Apr 2012 13:04:13 GMT (37kb) Title: Tree-graded asymptotic cones Authors: Alessandro Sisto Categories: math.GT Comments: Part of http://arxiv.org/abs/1010.4552v3, that has been split. To appear in Groups, Geometry and Dynamics \\ We study the bilipschitz equivalence type of tree-graded spaces, showing that asymptotic cones of relatively hyperbolic groups (resp. asymptotic cones of groups containing a cut-point) only depend on the bilipschitz equivalence types of the pieces in the standard (resp. minimal) tree-graded structure. In particular, the asymptotic cones of many relatively hyperbolic groups do not depend on the scaling factor. We also describe the asymptotic cones as above "explicitly". Part of these results were obtained independently and simultaneously by D. Osin and M. Sapir. \\ ( http://arxiv.org/abs/1204.0682 , 37kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0687 Date: Tue, 3 Apr 2012 13:36:40 GMT (20kb) Title: Hochschild homology of Hopf algebras and free Yetter-Drinfeld resolutions of the counit Authors: Julien Bichon Categories: math.QA math.KT math.OA Comments: 17 pages \\ We show that if $A$ and $H$ are Hopf algebras that have equivalent tensor categories of comodules, then one can transport what we call a free Yetter-Drinfeld resolution of the counit of $A$ to the same kind of resolution for the counit of $H$, exhibiting in this way strong links between the Hochschild homologies of $A$ and $H$. This enables us to get a finite free resolution of the counit of $\mathcal B(E)$, the Hopf algebra of the bilinear form associated to an invertible matrix $E$, generalizing an ealier construction of Collins, Hartel and Thom in the orthogonal case $E=I_n$. It follows that $\B(E)$ is smooth of dimension 3 and satisfies Poincar\'e duality. Combining this with results of Vergnioux, it also follows that when $E$ is an antisymetric matrix, the $L^2$-Betti numbers of the associated discrete quantum group all vanish. We also use our resolution to compute the bialgebra cohomology of $\B(E)$ in the cosemisimple case. \\ ( http://arxiv.org/abs/1204.0687 , 20kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0691 Date: Tue, 3 Apr 2012 13:58:34 GMT (14kb) Title: Large Harnack inequalities, Kobayashi distances and holomorphic motions Authors: E.M. Chirka Categories: math.CV Comments: 19 p MSC-class: 32A \\ We prove some generalizations and analogies of Harnack inequalities for pluriharmonic, holomorphic and "almost holomorphic" functions. The results are applied to the proving of smoothness properties of holomorphic motions over almost complex manifolds. \\ ( http://arxiv.org/abs/1204.0691 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0695 Date: Tue, 3 Apr 2012 14:18:53 GMT (35kb) Title: A Global version of Grozman's theorem Authors: Kenji Iohara and Olivier Mathieu Categories: math.RT math.QA \\ Let X be a manifold. The classification of all equivariant bilinear maps between tensor density modules over X has been investigated by Yu Grozman, who has provided a full classification for those which are differential operators. Here, we investigate the same question without the hypothesis that the maps are differential operators. In our paper, the geometric context is algebraic geometry and the manifold X is the circle Spec C[z,z^{-1}]. \\ ( http://arxiv.org/abs/1204.0695 , 35kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0698 Date: Tue, 3 Apr 2012 14:25:04 GMT (13kb) Title: Differential subordination and superordination results for an operator associated with the generalized bessel functions Authors: Erhan Deniz Categories: math.CV Comments: 18 pages, submitted to a journal MSC-class: 30C45, 30C80, 33C10 \\ We obtain many subordination and superordination results, using a new operator Bc ?f by means of the normalized form of the generalized Bessel functions of ?rst kind, which is defined as z [B^c_(\kappa+1) f(z)]' = \kappaB^c_\kappa f(z) - (\kappa - 1)B^c_(\kappa+1)f(z) where b, c, p \in \mathbb{C} and \kappa = p + (b + 1)/2 \notin \mathbb{Z}^-_0 . These results are obtained by investigating appropriate class of admissible functions. Sandwich-type results are also obtained. Various known or new special cases of our results are also pointed out. Moreover we give a positive answer to an open problem proposed by Andra and Baricz [5]. \\ ( http://arxiv.org/abs/1204.0698 , 13kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0699 Date: Tue, 3 Apr 2012 14:29:27 GMT (33kb) Title: Logarithmic structures on K-theory spectra Authors: Steffen Sagave Categories: math.AT math.KT Comments: 28 pages MSC-class: Primary 55P43, Secondary 14F10, 55P47 \\ We study a modified version of Rognes' logarithmic structures on structured ring spectra. In our setup, we obtain canonical logarithmic structures on connective K-theory spectra which approximate the respective periodic spectra. The inclusion of the p-complete Adams summand into the p-complete connective complex K-theory spectrum is compatible with these logarithmic structures. The vanishing of appropriate logarithmic topological Andre-Quillen homology groups confirms that the inclusion of the Adams summand should be viewed as a tamely ramified extension of ring spectra. \\ ( http://arxiv.org/abs/1204.0699 , 33kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0700 Date: Tue, 3 Apr 2012 14:38:17 GMT (24kb) Title: Third-order superintegrable systems separable in parabolic coordinates Authors: I. Popperi, S. Post and P. Winternitz Categories: math-ph math.MP nlin.SI MSC-class: 70Hxx, 37Jxx \\ In this paper, we investigate superintegrable systems which separate in parabolic coordinates and admit a third-order integral of motion. We give the corresponding determining equations and show that all such systems are multi-separable and so admit two second-order integrals. The third-order integral is their Lie or Poisson commutator. We discuss how this situation is different from the Cartesian and polar cases where new potentials were discovered which are not multi-separable and which are expressed in terms of Painlev\'e transcendents or elliptic functions. \\ ( http://arxiv.org/abs/1204.0700 , 24kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0703 Date: Tue, 3 Apr 2012 14:50:35 GMT (69kb) Title: Decay of correlations for maps with uniformly contracting fibers and logarithm law for singular hyperbolic attractors Authors: Vitor Araujo, Stefano Galatolo, and Maria Jose Pacifico Categories: math.DS math.CA Comments: 36 pages; 03 figures MSC-class: Primary: 37C10, 37C45, Secondary: 37C40, 37D30, 37D25 \\ We consider two dimensional maps preserving a foliation which is uniformly contracting and a one dimensional associated quotient map having exponential convergence to equilibrium (iterates of Lebesgue measure converge exponentially fast to physical measure). We prove that these maps have exponential decay of correlations over a large class of observables. We use this result to deduce exponential decay of correlations for the Poincare maps of a large class of singular hyperbolic flows. From this we deduce logarithm laws for these flows. \\ ( http://arxiv.org/abs/1204.0703 , 69kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0705 Date: Tue, 3 Apr 2012 15:05:05 GMT (5kb) Title: Note on group distance magic graphs $G[C_4]$ Authors: Sylwia Cichacz Categories: math.CO MSC-class: 05C78 \\ A \emph{group distance magic labeling} or a $\gr$-distance magic labeling of a graph $G(V,E)$ with $|V | = n$ is an injection $f$ from $V$ to an Abelian group $\gr$ of order $n$ such that the weight $w(x)=\sum_{y\in N_G(x)}f(y)$ of every vertex $x \in V$ is equal to the same element $\mu \in \gr$, called the magic constant. In this paper we will show that if $G$ is a graph of order $n=2^{p}(2k+1)$ for some natural numbers $p$, $k$ such that $\deg(v)\equiv c \imod {2^{p+1}}$ for some constant $c$ for any $v\in V(G)$, then there exists an $\gr$-distance magic labeling for any Abelian group $\gr$ for the graph $G[C_4]$. Moreover we prove that if $\gr$ is an arbitrary Abelian group of order $4n$ such that $\gr \cong \zet_2 \times\zet_2 \times \gA$ for some Abelian group $\gA$ of order $n$, then exists a $\gr$-distance magic labeling for any graph $G[C_4]$. \\ ( http://arxiv.org/abs/1204.0705 , 5kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0708 Date: Tue, 3 Apr 2012 15:17:42 GMT (17kb) Title: The variance of the number of prime polynomials in short intervals and in residue classes Authors: J.P. Keating and Z. Rudnick Categories: math.NT \\ We resolve a function field version of two conjectures concerning the variance of the number of primes in short intervals (Goldston and Montgomery) and in arithmetic progressions (Hooley). A crucial ingredient in our work are recent equidistribution results of N. Katz. \\ ( http://arxiv.org/abs/1204.0708 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0712 Date: Tue, 3 Apr 2012 15:33:51 GMT (4kb) Title: Creator-annihilator domains and the number operator Authors: P. L. Robinson Categories: math.FA math-ph math.MP Comments: 7 pages, no figures MSC-class: 81S05 \\ We show that for the bosonic Fock representation in infinite dimensions, the maximal common domain of all creators and annihilators properly contains the domain of the square-root of the number operator. \\ ( http://arxiv.org/abs/1204.0712 , 4kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0713 Date: Tue, 3 Apr 2012 15:35:04 GMT (20kb) Title: Irreducible representations of the exceptional cheng-kac superalgebra Authors: Consuelo Mart\'inez and Efim Zelmanov Categories: math.RT math.RA MSC-class: 17B99 \\ We classify all conformal irreducible modules of finite type over the Cheng Kac superalgebra CK(6). \\ ( http://arxiv.org/abs/1204.0713 , 20kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0718 Date: Tue, 3 Apr 2012 15:48:53 GMT (13kb) Title: On the time inhomogeneous skew Brownian motion Authors: S. Bouhadou and Y. Ouknine Categories: math.PR \\ This paper is devoted to the construction of a solution for the "Inhomogenous skew Brownian motion" equation, which first appeared in a seminal paper by Sophie Weinryb, and recently, studied by \'{E}tor\'e and Martinez. Our method is based on the use of the Balayage formula. At the end of this paper we study a limit theorem of solutions. \\ ( http://arxiv.org/abs/1204.0718 , 13kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0719 Date: Tue, 3 Apr 2012 15:51:51 GMT (42kb) Title: Fenchel-Nielsen Coordinates for Maximal Representations Authors: Tobias Strubel Categories: math.DG math.GR \\ We develop Fenchel-Nielsen coordinates for representations of surface groups into Sp(2n,R) with maximal Toledo invariant. Analogous to classical Fenchel-Nielsen coordinates on the Teichm\"uller space they consist of a parametrization of representations of the fundamental group of a pair of pants and a careful investigation of the gluing. As applications we obtain results for non-closed surfaces, which have been known only for closed surfaces before: we count the number of connected components of their representation space and prove continuity for the limit curve for a certain type of representations. \\ ( http://arxiv.org/abs/1204.0719 , 42kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0722 Date: Tue, 3 Apr 2012 16:03:19 GMT (15kb) Title: Quaternionic vector coherent states for spin-orbit interactions Authors: I. Aremua and M. N. Hounkonnou Categories: math-ph math.MP \\ This work addresses the study of two-dimensional electron gas in a perpendicular magnetic field in the presence of both Rashba and Dresselhaus spin-orbit (SO) interactions, with effective Zeeman coupling. Exact analytical expressions are found for the eigenvalue problem giving the Landau levels and the associated eigenstates, thanks to an appropriate method of parametrization used to quantize the physical system. Such a system exhibits interesting properties of quaternions for which vector coherent states are built. Similarity with the Weyl-Heisenberg group and some relevant properties of these vectors are discussed. \\ ( http://arxiv.org/abs/1204.0722 , 15kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0724 Date: Tue, 3 Apr 2012 16:06:51 GMT (16kb) Title: (para)-K\"ahler Weyl structures Authors: P. Gilkey and S. Nikcevic Categories: math.DG MSC-class: 53B05, 15A72, 53A15, 53B10, 53C07, 53C25 \\ We work in both the complex and in the para-complex categories and examine (para)-K\"ahler Weyl structures in both the geometric and in the algebraic settings. The higher dimensional setting is quite restrictive. We show that any (para)-Kaehler Weyl algebraic curvature tensor is in fact Riemannian in dimension at least 6; this yields as a geometric consequence that any (para)-Kaehler Weyl geometric structure is trivial if the dimension is at least 6. By contrast, the 4 dimensional setting is, as always, rather special as it turns out that there are (para)-Kaehler Weyl algebraic curvature tensors which are not Riemannian in dimension 4. Since every (para)-Kaehler Weyl algebraic curvature tensor is geometrically realizable and since every 4 dimensional Hermitian manifold admits a unique (para)-Kaehler Weyl structure, there are also non-trivial 4 dimensional Hermitian (para)-Kaehler Weyl manifolds. \\ ( http://arxiv.org/abs/1204.0724 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0728 Date: Tue, 3 Apr 2012 16:31:03 GMT (14kb) Title: On Self-Adjointness Of 1-D Schr\"odinger Operators With $\delta$-Interactions Authors: I. I. Karpenko and D. L. Tyshkevich Categories: math.FA Comments: To be published in Methods of Functional Analysis and Topology (2012) MSC-class: 34L40, 47E05, 47B25, 47B36, 81Q10 \\ In the present work we consider in $L^2(\mathbb{R}_+)$ the Schr\"odinger operator $\mathrm{H_{X,\alpha}}=-\mathrm{\frac{d^2}{dx^2}}+\sum_{n=1}^{\infty}\alpha_n\delta(x-x_n)$. We investigate and complete the conditions of self-adjointness and nontriviality of deficiency indices for $\mathrm{H_{X,\alpha}}$ obtained in \cite{karpiiKost}. We generalize the conditions found earlier in the special case $d_n:=x_{n}-x_{n-1}=1/n$, $n\in \mathbb{N}$, to a wider class of sequences $\{x_n\}_{n=1}^\infty$. Namely, for $x_n=\frac{1}{n^{\gamma}\ln^\eta n}$ with $<\gamma,\eta>\in(1/2, 1)\times(-\infty,+\infty)\:\cup\:\{1\}\times(-\infty,1]$, the description of asymptotic behavior of the sequence $\{\alpha_n\}_{n=1}^{\infty}$ is obtained for $\mathrm{H_{X,\alpha}}$ either to be self-adjoint or to have nontrivial deficiency indices. \\ ( http://arxiv.org/abs/1204.0728 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0729 Date: Tue, 3 Apr 2012 16:33:49 GMT (8kb) Title: On projective modules for Frobenius kernels and finite Chevalley groups Authors: Christopher M. Drupieski Categories: math.RT math.GR Comments: 7 pages MSC-class: Primary 20G10, 20C33. Secondary 20G05, 17B56 \\ Let $G$ be a simply-connected semisimple algebraic group scheme over an algebraically closed field of characteristic $p > 0$. Let $r \geq 1$ and set $q = p^r$. We show that if a rational $G$-module $M$ is projective over the $r$-th Frobenius kernel $G_r$ of $G$, then it is also projective when considered as a module for the finite subgroup $\Gfq$ of $\Fq$-rational points in $G$. This salvages a theorem of Lin and Nakano (\emph{Bull.\ London Math.\ Soc.} 39 (2007) 1019--1028). We also show that the corresponding statement need not hold when the group $G$ is replaced by the unipotent radical $U$ of a Borel subgroup of $G$. \\ ( http://arxiv.org/abs/1204.0729 , 8kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0734 Date: Tue, 3 Apr 2012 17:10:31 GMT (393kb,D) Title: A new graph parameter related to bounded rank positive semidefinite matrix completions Authors: Monique Laurent, Antonios Varvitsiotis Categories: math.OC cs.DM math.CO Comments: 31 pages, 6 Figures \\ The Gram dimension $\gd(G)$ of a graph $G$ is the smallest integer $k\ge 1$ such that any partial real symmetric matrix, whose entries are specified on the diagonal and at the off-diagonal positions corresponding to edges of $G$, can be completed to a positive semidefinite matrix of rank at most $k$ (assuming a positive semidefinite completion exists). For any fixed $k$ the class of graphs satisfying $\gd(G) \le k$ is minor closed, hence it can characterized by a finite list of forbidden minors. We show that the only minimal forbidden minor is $K_{k+1}$ for $k\le 3$ and that there are two minimal forbidden minors: $K_5$ and $K_{2,2,2}$ for $k=4$. We also show some close connections to Euclidean realizations of graphs and to the graph parameter $\nu^=(G)$ of \cite{H03}. In particular, our characterization of the graphs with $\gd(G)\le 4$ implies the forbidden minor characterization of the 3-realizable graphs of Belk and Connelly \cite{Belk,BC} and of the graphs with $\nu^=(G) \le 4$ of van der Holst \cite{H03}. \\ ( http://arxiv.org/abs/1204.0734 , 393kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0746 Date: Tue, 3 Apr 2012 17:45:49 GMT (255kb) Title: Gradually Atom Pruning for Sparse Reconstruction and Extension to Correlated Sparsity Authors: Seyed Hossein Hosseini and Mahrokh G. Shayesteh Categories: cs.IT math.IT Comments: 6 pages, 5 figures, to be included in 20th Iranian Conference on Electrical Engineering, IEEE, May 2012 \\ We propose a new algorithm for recovery of sparse signals from their compressively sensed samples. The proposed algorithm benefits from the strategy of gradual movement to estimate the positions of non-zero samples of sparse signal. We decompose each sample of signal into two variables, namely "value" and "detector", by a weighted exponential function. We update these new variables using gradient descent method. Like the traditional compressed sensing algorithms, the first variable is used to solve the Least Absolute Shrinkage and Selection Operator (Lasso) problem. As a new strategy, the second variable participates in the regularization term of the Lasso (l1 norm) that gradually detects the non-zero elements. The presence of the second variable enables us to extend the corresponding vector of the first variable to matrix form. This makes possible use of the correlation matrix for a heuristic search in the case that there are correlations among the samples of signal. We compare the performance of the new algorithm with various algorithms for uncorrelated and correlated sparsity. The results indicate the efficiency of the proposed methods. \\ ( http://arxiv.org/abs/1204.0746 , 255kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0750 Date: Tue, 3 Apr 2012 18:01:50 GMT (11kb) Title: Asymptotics of the $s$-perimeter as $s\searrow 0$ Authors: Serena Dipierro, Alessio Figalli, Giampiero Palatucci, Enrico Valdinoci Categories: math.AP \\ We deal with the asymptotic behavior of the $s$-perimeter of a set $E$ inside a domain $\Omega$ as $s\searrow0$. We prove necessary and sufficient conditions for the existence of such limit, by also providing an explicit formulation in terms of the Lebesgue measure of $E$ and $\Omega$. Moreover, we construct examples of sets for which the limit does not exist. \\ ( http://arxiv.org/abs/1204.0750 , 11kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0756 Date: Tue, 3 Apr 2012 18:19:17 GMT (474kb) Title: Integrability of higher pentagram maps Authors: Boris Khesin, Fedor Soloviev Categories: math.DS math.SG nlin.SI Comments: 40 pages, 4 figures \\ We define higher pentagram maps on polygons in $P^d$ for any dimension $d$, which extend R.Schwartz's definition of the 2D pentagram map. We prove their integrability for both closed and twisted polygons by presenting their Lax representation. The corresponding continuous limit of the pentagram map in dimension $d$ is shown to be the $(2,d+1)$-equation of the KdV hierarchy, generalizing the Boussinesq equation in 2D. We also study in detail the 3D case, where we describe the spectral curve, first integrals, the corresponding Liouville tori and the motion along them, as well as an invariant symplectic structure. \\ ( http://arxiv.org/abs/1204.0756 , 474kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0758 Date: Tue, 3 Apr 2012 18:32:36 GMT (31kb) Title: One-sided FKPP travelling waves in the context of homogenous fragmentation processes Authors: Robert Knobloch Categories: math.PR MSC-class: 60J25, 60G09 \\ In this paper we introduce the one-sided FKPP equation in the context of homogenous fragmentation processes. More specifically, the main result of the present paper is concerned with the existence and uniqueness of one-sided FKPP travelling waves in this setting. Moreover, we prove some analytical properties of such travelling waves. Our techniques make use of killed fragmentation processes and an associated product martingale as well as various properties of spectrally negative L\'evy processes. Furthermore, as a motivation, we devote a section to fragmentations with a finite dislocation measure, where we obtain a stronger result than for general fragmentation processes. \\ ( http://arxiv.org/abs/1204.0758 , 31kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0765 Date: Tue, 3 Apr 2012 18:51:51 GMT (262kb,D) Title: An Invertible Linearization Map for the Quartic Oscillator Authors: Robert L. Anderson Categories: math-ph math.MP physics.class-ph Journal-ref: Journal of Mathematical Physics 51, 122904 (2010) DOI: 10.1063/1.3527070 \\ The set of world lines for the non-relativistic quartic oscillator satisfying Newton's equation of motion for all space and time in 1-1 dimensions with no constraints other than the "spring" restoring force is shown to be equivalent (1-1-onto) to the corresponding set for the harmonic oscillator. This is established via an energy preserving invertible linearization map which consists of an explicit nonlinear algebraic deformation of coordinates and a nonlinear deformation of time coordinates involving a quadrature. In the context stated, the map also explicitly solves Newton's equation for the quartic oscillator for arbitrary initial data on the real line. This map is extended to all attractive potentials given by even powers of the space coordinate. It thus provides classes of new solutions to the initial value problem for all these potentials. \\ ( http://arxiv.org/abs/1204.0765 , 262kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0768 Date: Tue, 3 Apr 2012 19:04:12 GMT (6kb) Title: Actions for an Hierarchy of Attractive Nonlinear Oscillators Including the Quartic Oscillator in 1+1 Dimensions Authors: Robert L. Anderson Categories: math-ph math.MP \\ In this paper, we present an explicit form in terms of end-point data for the classical action $S_{2n}$ evaluated on extremals satisfying the Hamilton-Jacobi equation for each member of a hierarchy of classical non-relativistic oscillators characterized by even power potentials (i.e., attractive potentials $V_{2n}(y_{2n})={\frac{1}{2n}}k_{2n}y_{2n}^{2n}(t)|_{n{\geq}1}$). The nonlinear quartic oscillator corresponds to $n=2$ while the harmonic oscillator corresponds to $n=1$. \\ ( http://arxiv.org/abs/1204.0768 , 6kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0770 Date: Tue, 3 Apr 2012 19:18:18 GMT (50kb) Title: A cohomological classification of vector bundles on smooth affine threefolds Authors: Aravind Asok and Jean Fasel Categories: math.AG math.AT math.KT Comments: 50 pages; Comments welcome! MSC-class: 14F42 55S35 19D45 13C10 19A13 \\ We give a cohomological classification of vector bundles on smooth affine threefolds over algebraically closed fields having characteristic unequal to 2. As a consequence, if A is a smooth affine algebra of dimension 3 over an algebraically closed field having characteristic unequal to 2, we deduce that cancellation holds for arbitrary rank projective modules. The proofs of these results involve three main ingredients. First, we give a description of the second unstable A^1-homotopy sheaf of the general linear group. Second, these computations can be used in concert with F. Morel's A^1-homotopy classification of vector bundles on smooth affine schemes and obstruction theoretic techniques (stemming from a version of the Postnikov tower in A^1-homotopy theory) to reduce the classification results to cohomology vanishing statements. Third, we prove the required vanishing statements. \\ ( http://arxiv.org/abs/1204.0770 , 50kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0771 Date: Tue, 3 Apr 2012 19:19:29 GMT (34kb) Title: Regularization of Linear Ill-posed Problems by the Augmented Lagrangian Method and Variational Inequalities Authors: Klaus Frick and Markus Grasmair Categories: math.NA math.OC MSC-class: 65J20 47A52 \\ We study the application of the Augmented Lagrangian Method to the solution of linear ill-posed problems. Previously, linear convergence rates with respect to the Bregman distance have been derived under the classical assumption of a standard source condition. Using the method of variational inequalities, we extend these results in this paper to convergence rates of lower order, both for the case of an a priori parameter choice and an a posteriori choice based on Morozov's discrepancy principle. In addition, our approach allows the derivation of convergence rates with respect to distance measures different from the Bregman distance. As a particular application, we consider sparsity promoting regularization, where we derive a range of convergence rates with respect to the norm under the assumption of restricted injectivity in conjunction with generalized source conditions of H\"older type. \\ ( http://arxiv.org/abs/1204.0771 , 34kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0776 Date: Tue, 3 Apr 2012 19:38:10 GMT (769kb) Title: Exploiting Channel Correlation and PU Traffic Memory for Opportunistic Spectrum Scheduling Authors: Shanshan Wang, Sugumar Murugesan and Junshan Zhang Categories: cs.IT cs.SY math.IT \\ We consider a cognitive radio network with multiple primary users (PUs) and one secondary user (SU), where a spectrum server is utilized for spectrum sensing and scheduling the SU to transmit over one of the PU channels opportunistically. One practical yet challenging scenario is when \textit{both} the PU occupancy and the channel fading vary over time and exhibit temporal correlations. Little work has been done for exploiting such temporal memory in the channel fading and the PU occupancy simultaneously for opportunistic spectrum scheduling. A main goal of this work is to understand the intricate tradeoffs resulting from the interactions of the two sets of system states - the channel fading and the PU occupancy, by casting the problem as a partially observable Markov decision process. We first show that a simple greedy policy is optimal in some special cases. To build a clear understanding of the tradeoffs, we then introduce a full-observation genie-aided system, where the spectrum server collects channel fading states from all PU channels. The genie-aided system is used to decompose the tradeoffs in the original system into multiple tiers, which are examined progressively. Numerical examples indicate that the optimal scheduler in the original system, with observation on the scheduled channel only, achieves a performance very close to the genie-aided system. Further, as expected, the optimal policy in the original system significantly outperforms randomized scheduling, pointing to the merit of exploiting the temporal correlation structure in both channel fading and PU occupancy. \\ ( http://arxiv.org/abs/1204.0776 , 769kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0781 Date: Tue, 3 Apr 2012 19:55:21 GMT (17kb) Title: Geodesic restrictions of eigenfunctions on arithmetic surfaces Authors: Simon Marshall Categories: math.NT math.AP Comments: 21 pages MSC-class: 35P15, 11F25 \\ Let X be an arithmetic hyperbolic surface, {\psi} a Hecke-Maass form, and {\gamma} a geodesic segment on X. We obtain a power saving over the local bound of Burq-G\'erard-Tzvetkov for the L^2 norm of {\psi} restricted to {\gamma}, by extending the technique of arithmetic amplification developed by Iwaniec and Sarnak. \\ ( http://arxiv.org/abs/1204.0781 , 17kb) %-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%-%- ------------------------------------------------------------------------------ \\ arXiv:1203.5978 (*cross-listing*) Date: Tue, 27 Mar 2012 14:28:02 GMT (16kb) Date (revised v2): Mon, 2 Apr 2012 12:39:24 GMT (21kb) Title: HOMFLY and superpolynomials for figure eight knot in all symmetric and antisymmetric representations Authors: H. Itoyama, A. Mironov, A. Morozov and An. Morozov Categories: hep-th math.GT math.QA Comments: 14 pages Report-no: FIAN/TD-04/12; ITEP/TH-14/12; OCU-PHYS-364 \\ Explicit answer is given for the HOMFLY polynomial of the figure eight knot $4_1$ in arbitrary symmetric representation R=[p]. It generalizes the old answers for p=1 and 2 and the recently derived results for p=3,4, which are fully consistent with the Ooguri-Vafa conjecture. The answer can be considered as a quantization of the \sigma_R = \sigma_{[1]}^{|R|} identity for the "special" polynomials (they define the leading asymptotics of HOMFLY at q=1), and arises in a form, convenient for comparison with the representation of the Jones polynomials as sums of dilogarithm ratios. In particular, we construct a difference equation ("non-commutative A-polynomial") in the representation variable p. Simple symmetry transformation provides also a formula for arbitrary antisymmetric (fundamental) representation R=[1^p], which also passes some obvious checks. Also straightforward is a deformation from HOMFLY to superpolynomials. Further generalizations seem possible to arbitrary Young diagrams R, but these expressions are harder to test because of the lack of alternative results, even partial. \\ ( http://arxiv.org/abs/1203.5978 , 21kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0521 (*cross-listing*) Date: Mon, 2 Apr 2012 20:01:13 GMT (199kb,D) Title: Explicit receivers for pure-interference bosonic multiple access channels Authors: Mark M. Wilde and Saikat Guha Categories: quant-ph cs.IT math.IT Comments: 9 pages, 2 figures, submission to the 2012 International Symposium on Information Theory and its Applications (ISITA 2012), Honolulu, Hawaii, USA \\ The pure-interference bosonic multiple access channel has two senders and one receiver, such that the senders each communicate with a single mode of light and the effect of the channel is to mix their transmissions on a beamsplitter. The receiver then obtains a signal from one of the output ports. In prior work, Yen and Shapiro found the capacity region of this channel if the senders are restricted to coherent-state encodings. Here, we demonstrate how to achieve the Yen-Shapiro region (in some cases) with a sequential decoding strategy, such that the receiver performs binary-outcome quantum measurements for every codeword pair in the senders' codebooks. A crucial component of this scheme is a non-destructive "vacuum-or-not" measurement that projects an n-symbol modulated codeword onto the n-fold vacuum state or its orthogonal complement, such that the post-measurement state is either the n-fold vacuum or has the vacuum removed from the support of the n symbols' joint quantum state. This receiver requires the additional ability to perform multimode optical phase-space displacements which are realizable using a beamsplitter and a laser. \\ ( http://arxiv.org/abs/1204.0521 , 199kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0546 (*cross-listing*) Date: Mon, 2 Apr 2012 22:10:43 GMT (17kb) Title: Period cycles of the logistic map Authors: Cheng Zhang Categories: physics.comp-ph math.DS Comments: 15 pages \\ We present a simple algorithm to locate the onset and bifurcation points of period-n cycles of the logistic map and some related maps. For the logistic, H\'enon and cubic map, we computed the polynomials of the respective parameters for a period length n up to 13, 9 and 8, respectively. \\ ( http://arxiv.org/abs/1204.0546 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0547 (*cross-listing*) Date: Mon, 2 Apr 2012 22:15:57 GMT (140kb,D) Title: On the number of radial orderings of planar point sets Authors: Jos\'e M. D\'iaz-Ba\~nez and Ruy Fabila-Monroy and Pablo P\'erez-Lantero Categories: cs.CG math.CO \\ Given a set $S$ of $n$ points in the plane, a \emph{radial ordering} of $S$ with respect to a point $p$ (not in $S$) is a clockwise circular ordering of the elements in $S$ by angle around $p$. If $S$ is two-colored, a \emph{colored radial ordering} is a radial ordering of $S$ in which only the colors of the points are considered. In this paper, we obtain bounds on the number of distinct non-colored and colored radial orderings of $S$. We assume a strong general position on $S$, not three points are collinear and not three lines---each passing through a pair of points in $S$---intersect in a point of $\R^2\setminus S$. In the colored case, $S$ is a set of $2n$ points partitioned into $n$ red and $n$ blue points, and $n$ is even. We prove that: the number of distinct radial orderings of $S$ is at most $O(n^4)$ and at least $\Omega(n^3)$; the number of colored radial orderings of $S$ is at most $O(n^4)$ and at least $\Omega(n)$; there exist sets of points with $\Theta(n^4)$ colored radial orderings and sets of points with only $O(n^2)$ colored radial orderings. \\ ( http://arxiv.org/abs/1204.0547 , 140kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0558 (*cross-listing*) Date: Mon, 2 Apr 2012 23:48:38 GMT (43kb) Title: Location of the Lee-Yang zeros and absence of phase transitions in some Ising spin systems Authors: Joel L. Lebowitz, David Ruelle, and Eugene R. Speer Categories: cond-mat.stat-mech math-ph math.MP Comments: Plain TeX. Seventeen pages, five figures (one from a .eps file, four generated with PiCTeX) \\ We consider a class of Ising spin systems on a set \Lambda\ of sites. The sites are grouped into units with the property that each site belongs to either one or two units, and the total internal energy of the system is the sum of the energies of the individual units, which in turn depend only on the number of up spins in the unit. We show that under suitable conditions on these interactions none of the |\Lambda| Lee-Yang zeros in the complex z = exp{2\beta h} plane, where \beta\ is the inverse temperature and h the uniform magnetic field, touch the positive real axis, at least for large values of \beta. In some cases one obtains, in an appropriately taken \beta\ to infinity limit, a gas of hard objects on a set \Lambda'; the fugacity for the limiting system is a rescaling of z and the Lee-Yang zeros of the new partition function also avoid the positive real axis. For certain forms of the energies of the individual units the Lee-Yang zeros of both the finite- and zero-temperature systems lie on the negative real axis for all \beta. One zero-temperature limit of this type, for example, is a monomer-dimer system; our results thus generalize, to finite \beta, a well-known result of Heilmann and Lieb that the Lee-Yang zeros of monomer-dimer systems are real and negative. \\ ( http://arxiv.org/abs/1204.0558 , 43kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0565 (*cross-listing*) Date: Tue, 3 Apr 2012 00:25:22 GMT (12kb) Title: Measurement-induced nonlocality over two-sided projective measurements Authors: Yu Guo Categories: quant-ph math.FA Comments: 12 pages \\ Measurement-induced nonlocality (MiN), introduced by Luo and Fu [Phys. Rev. Lett. 106(2011)120401], is a kind of quantum correlation that beyond entanglement and even beyond quantum discord. Recently, we extended MiN to infinite-dimensional bipartite system [arXiv:1107.0355]. MiN is defined over one-sided projective measurements. In this letter we introduce a measurement-induced nonlocality over two-sided projective measurements. The nullity of this two-sided MiN is characterized, a formula for calculating two-sided MiN for pure states is proposed, and a lower bound of (two-sided) MiN for maximally entangled mixed states is given. In addition, we find that (two-sided) MiN is not continuous. The two-sided geometric measure of quantum discord (GMQD) is introduced in [Phys. Lett. A 376(2012)320--324]. We extend it to infinite-dimensional system and then compare it with the two-sided MiN. Both finite- and infinite-dimensional cases are considered. \\ ( http://arxiv.org/abs/1204.0565 , 12kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0569 (*cross-listing*) Date: Tue, 3 Apr 2012 01:16:00 GMT (231kb,D) Title: A Space-time Smooth Artificial Viscosity Method For Nonlinear Conservation Laws Authors: Jon Reisner, Jonathan Serencsa and Steve Shkoller Categories: physics.comp-ph math.NA Comments: 24 pages, 21 figures \\ We introduce the $C$-method, a simple scheme for adding localized, space-time smooth, artificial viscosity to nonlinear systems of conservation laws which propagate shock waves, rarefactions, and contact discontinuities. In particular, we focus our attention on the compressible Euler equations which form a 3x3 system in one space dimension. The novel feature of our approach involves the coupling of a linear scalar reaction diffusion equation to our system of conservation laws, whose solution $C(x,t)$ is the coefficient to an additional (and artificial) term added to the flux, which determines both the location and strength of the added viscosity. Near shock discontinuities, $C(x,t)$ is large and localized, and transitions smoothly in space-time to zero away from the shock. This simple approach has two fundamental features: (1) our regularization is at the continuum level--i.e., the level of he partial differential equations (PDE)-- so that any higher-order numerical discretization scheme can be employed, and (2) we avoid the use of Riemann-type or characteristic solvers near strong shocks. Additionally, the $C$-method has a straightforward generalization to the multi-D setting, and does not require dimensional splitting. We demonstrate the effectiveness of the $C$-method with two significantly different numerical implementations and apply these to a collection of classical problems. First, we use a classical continuous finite-element implementation using second-order discretization in both space and time, FEM-C, and second, we employ a simplified WENO scheme within our $C$-method framework, WENO-C. Both schemes yield higher-order discretization strategies, which provide sharp shock resolution with minimal overshoot and noise, and compare well with higher-order WENO schemes that employ characteristic solvers near strong shocks. \\ ( http://arxiv.org/abs/1204.0569 , 231kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0599 (*cross-listing*) Date: Tue, 3 Apr 2012 05:23:15 GMT (292kb) Title: Exact Model for Mode-Dependent Gains and Losses in Multimode Fiber Authors: Keang-Po Ho Categories: physics.optics math.PR Comments: 7 pages, 2 figures, 2 tables \\ In the strong mode coupling regime, the model for mode-dependent gains and losses (collectively referred as MDL) of a multimode fiber is extended to the region with large MDL. The MDL is found to have the same statistical properties as the eigenvalues of the summation of two matrices. The first matrix is a random Gaussian matrix with standard deviation proportional to the accumulated MDL. The other matrix is a deterministic matrix with uniform eigenvalues proportional to the square of the accumulated MDL. The results are analytically correct for fibers with two or large number of modes, and also numerically verified for other cases. \\ ( http://arxiv.org/abs/1204.0599 , 292kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0622 (*cross-listing*) Date: Tue, 3 Apr 2012 08:19:35 GMT (162kb) Title: Critical manifold of the kagome-lattice Potts model Authors: Jesper Lykke Jacobsen and Christian R. Scullard Categories: cond-mat.stat-mech math-ph math.MP Comments: 31 pages, 12 figures \\ Any two-dimensional infinite regular lattice G can be produced by tiling the plane with a finite subgraph B of G; we call B a basis of G. We introduce a two-parameter graph polynomial P_B(q,v) that depends on B and its embedding in G. The algebraic curve P_B(q,v) = 0 is shown to provide an approximation to the critical manifold of the q-state Potts model, with coupling v = exp(K)-1, defined on G. This curve predicts the phase diagram both in the ferromagnetic (v>0) and antiferromagnetic (v<0) regions. For larger bases B the approximations become increasingly accurate, and we conjecture that P_B(q,v) = 0 provides the exact critical manifold in the limit of infinite B. Furthermore, for some lattices G, or for the Ising model (q=2) on any G, P_B(q,v) factorises for any choice of B: the zero set of the recurrent factor then provides the exact critical manifold. In this sense, the computation of P_B(q,v) can be used to detect exact solvability of the Potts model on G. We illustrate the method for the square lattice, where the Potts model has been exactly solved, and the kagome lattice, where it has not. For the square lattice we correctly reproduce the known phase diagram, including the antiferromagnetic transition and the singularities in the Berker-Kadanoff phase. For the kagome lattice, taking the smallest basis with six edges we recover a well-known (but now refuted) conjecture of F.Y. Wu. Larger bases provide successive improvements on this formula, giving a natural extension of Wu's approach. The polynomial predictions are in excellent agreement with numerical computations. For v>0 the accuracy of the predicted critical coupling v_c is of the order 10^{-4} or 10^{-5} for the 6-edge basis, and improves to 10^{-6} or 10^{-7} for the largest basis studied (with 36 edges). \\ ( http://arxiv.org/abs/1204.0622 , 162kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0660 (*cross-listing*) Date: Tue, 3 Apr 2012 11:32:13 GMT (112kb,D) Title: Hardness of approximation for crossing number Authors: Sergio Cabello Categories: cs.CG cs.CC math.CO Comments: 10 pages, 4 figures \\ We show that, if P\not=NP, there is a constant c > 1 such that there is no c-approximation algorithm for the crossing number, even when restricted to 3-regular graphs. \\ ( http://arxiv.org/abs/1204.0660 , 112kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0669 (*cross-listing*) Date: Tue, 3 Apr 2012 12:00:28 GMT (6kb) Title: Variational principle for gravity in the extended phase space Authors: Pankaj Sharan Categories: gr-qc math-ph math.MP Comments: Latex2e, 6 pages, presented in International Conference on Gravitation and Cosmology, Goa, India, December 14-19, 2011 \\ Variational formalism in the extended phase space for fields is applied to gravity. It is shown that the requirement of invariance under arbitrary local inertial frames implies a coupling of torsion to a 3-form of matter fields on the one hand and to a 3-form (related to the Einstein tensor) on the other. Gravitational dynamics is restricted to torsion zero surface in the extended phase space for Einstein-Hilbert action. \\ ( http://arxiv.org/abs/1204.0669 , 6kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0694 (*cross-listing*) Date: Tue, 3 Apr 2012 14:15:54 GMT (8kb) Title: A numerical test of differential equations for one- and two-loop sunrise diagrams using configuration space techniques Authors: S. Groote, J.G. K\"orner, A.A. Pivovarov Categories: hep-ph hep-th math-ph math.MP Comments: 11 pages, no figures Report-no: MZ-TH/12-15, SI-HEP-2012-07 \\ We use configuration space methods to write down one-dimensional integral representations for one- and two-loop sunrise diagrams (also called Bessel moments) which we use to numerically check on the correctness of the second order differential equations for one- and two-loop sunrise diagrams that have recently been discussed in the literature. \\ ( http://arxiv.org/abs/1204.0694 , 8kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0711 (*cross-listing*) Date: Tue, 3 Apr 2012 15:28:23 GMT (38kb,D) Title: Quantum state discrimination bounds for finite sample size Authors: Koenraad M.R. Audenaert, Milan Mosonyi, Frank Verstraete Categories: quant-ph math.ST stat.TH \\ In the problem of quantum state discrimination, one has to determine by measurements the state of a quantum system, based on the a priori side information that the true state is one of two given and completely known states, rho or sigma. In general, it is not possible to decide the identity of the true state with certainty, and the optimal measurement strategy depends on whether the two possible errors (mistaking rho for sigma, or the other way around) are treated as of equal importance or not. Recent results on the quantum Chernoff and Hoeffding bounds show that, if several copies of the system are available then the optimal error probabilities decay exponentially in the number of copies, and the decay rate is given by a certain statistical distance between rho and sigma (the Chernoff distance and the Hoeffding distances, respectively). While these results provide a complete solution for the asymptotic problem, they are not completely satisfying from a practical point of view. Indeed, in realistic scenarios one has access only to finitely many copies of a system, and therefore it is desirable to have bounds on the error probabilities for finite sample size. In this paper we provide finite-size bounds on the so-called Stein errors, the Chernoff errors, the Hoeffding errors and the mixed error probabilities related to the Chernoff and the Hoeffding errors. \\ ( http://arxiv.org/abs/1204.0711 , 38kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0741 (*cross-listing*) Date: Tue, 3 Apr 2012 17:28:50 GMT (545kb,D) Title: Eigenvalue Distributions of Reduced Density Matrices Authors: Matthias Christandl and Brent Doran and Stavros Kousidis and Michael Walter Categories: quant-ph math-ph math.AG math.MP math.SG Comments: 43 pages, 7 figures \\ Given a random quantum state of multiple (distinguishable or indistinguishable) particles, we provide an algorithm, rooted in symplectic geometry, to compute the joint probability distribution of the eigenvalues of its one-body reduced density matrices, and hence some associated physical invariants of the state. As a corollary, by taking the support of this probability distribution, which is a convex polytope, we recover a complete solution to the one-body quantum marginal problem, i.e., the problem of characterizing the one-body reduced density matrices that arise from some multi-particle quantum state. In the fermionic instance of the problem, which is known as the one-body N-representability problem, the famous Pauli principle amounts to one linear inequality in the description of the convex polytope. We obtain the probability distribution by reducing to computing the corresponding distribution of diagonal entries (i.e., to the quantitative version of a classical marginal problem), which is then determined algorithmically. This reduction applies more generally to symplectic geometry, relating invariant measures for a compact Lie group action to that for the maximal torus action; we state and prove our results in this more general symplectic setting. Our approach is in striking contrast to the existing solution to the computation of the supporting polytope by Klyachko and by Berenstein and Sjamaar, which made crucial use of non-Abelian features. In algebraic geometry, Duistermaat-Heckman measures correspond to the asymptotic distribution of multiplicities of irreducible representations in the associated coordinate ring. In the case of the one-body quantum marginal problem, these multiplicities include bounded height Kronecker and plethysm coefficients. A quantized version of the Abelianization procedure provides an efficient algorithm for their computation. \\ ( http://arxiv.org/abs/1204.0741 , 545kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0747 (*cross-listing*) Date: Tue, 3 Apr 2012 17:51:07 GMT (2045kb,D) Title: Delaunay Hodge Star Authors: Anil N. Hirani, Kaushik Kalyanaraman, Evan B. VanderZee Categories: cs.CG math.NA MSC-class: 65N30, 53-04 ACM-class: I.3.5; G.1.8 \\ We define signed dual volumes at all dimensions for circumcentric dual meshes. We show that for pairwise Delaunay triangulations with mild boundary assumptions these signed dual volumes are positive. This allows the use of such Delaunay meshes for Discrete Exterior Calculus (DEC) because the discrete Hodge star operator can now be correctly defined for such meshes. This operator is crucial for DEC and is a diagonal matrix with the ratio of primal and dual volumes along the diagonal. A correct definition requires that all entries be positive. DEC is a framework for numerically solving differential equations on meshes and for geometry processing tasks and has had considerable impact in computer graphics and scientific computing. Our result allows the use of DEC with a much larger class of meshes than was previously considered possible. \\ ( http://arxiv.org/abs/1204.0747 , 2045kb) %%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%%--%% ------------------------------------------------------------------------------ \\ arXiv:math/0312503 replaced with revised version Mon, 2 Apr 2012 20:14:18 GMT (23kb) Title: Note on cohomology rings of spherical varieties and volume polynomial Authors: Kiumars Kaveh Categories: math.AG Comments: 15 pages. Presentation of paper improved, some minor errors fixed and some references as well as example of complete conics added. Final version, appeared in J. Lie Theory MSC-class: 14M17 Journal-ref: J. Lie Theory 21 (2011), no. 2, 263-283 \\ ( http://arxiv.org/abs/math/0312503 , 23kb) ------------------------------------------------------------------------------ \\ arXiv:math/0503736 replaced with revised version Tue, 3 Apr 2012 17:54:41 GMT (67kb) Title: Metric stability for random walks (with applications in renormalization theory) Authors: Carlos G. Moreira (IMPA) Daniel Smania (ICMC-USP) Categories: math.DS math.PR Comments: 58 pages, 5 figures. The authors thank the referee for many valuable suggestions and corrections. To appear in the Proceedings of the conference Frontiers in Complex Dynamics (Celebrating John Milnor's 80th. birthday) MSC-class: 60G50, 82B41, 37E05, 37C20, 30C65, 37C45, 37D20, 37A50, 37E20 \\ ( http://arxiv.org/abs/math/0503736 , 67kb) ------------------------------------------------------------------------------ \\ arXiv:math/0510490 replaced with revised version Tue, 3 Apr 2012 14:29:06 GMT (13kb) Title: A note on the composition product of symmetric sequences Authors: Michael Ching Categories: math.CT math.AT Comments: many changes, 15 pages, version to appear in Journal of Homotopy and Related Structures MSC-class: 18D10 (Primary) 18D50 (Secondary) \\ ( http://arxiv.org/abs/math/0510490 , 13kb) ------------------------------------------------------------------------------ \\ arXiv:0804.0510 replaced with revised version Tue, 3 Apr 2012 06:25:44 GMT (13kb) Title: Nonparametric Statistical Inference for Ergodic Processes Authors: Daniil Ryabko (INRIA Lille - Nord Europe), Boris Ryabko (SIBSUTI, ICT SBRAS) Categories: cs.IT math.IT math.ST stat.TH Comments: Conference version in: D. Ryabko, B. Ryabko, On hypotheses testing for ergodic processes, in Proceedgings of Information Theory Workshop, 2008, Porto, Portugal, pp. 281-283 Journal-ref: IEEE Transactions on Information Theory 56, 3 (2010) 1430-1435 \\ ( http://arxiv.org/abs/0804.0510 , 13kb) ------------------------------------------------------------------------------ \\ arXiv:0811.0802 replaced with revised version Mon, 2 Apr 2012 21:25:53 GMT (129kb) Title: Optimal cross-validation in density estimation Authors: Alain Celisse Categories: math.ST stat.TH \\ ( http://arxiv.org/abs/0811.0802 , 129kb) ------------------------------------------------------------------------------ \\ arXiv:0905.1282 replaced with revised version Tue, 3 Apr 2012 17:16:03 GMT (50kb) Title: Hereditary conjugacy separability of right angled Artin groups and its applications Authors: Ashot Minasyan Categories: math.GR Comments: 49 pages, final version, to appear in Groups Geom. Dyn MSC-class: 20F36, 20E26, 20F55, 20F28, 20F10 \\ ( http://arxiv.org/abs/0905.1282 , 50kb) ------------------------------------------------------------------------------ \\ arXiv:0912.2762 replaced with revised version Tue, 3 Apr 2012 12:37:24 GMT (2859kb) Title: Introduction to Stokes structures Authors: Claude Sabbah Categories: math.AG math.CV Comments: Expanded Lecture notes of lectures given in Lisboa, jan. 2009. V2: 175 pages, 5 figures. Some corrections and improvements and new Lecture 6 added. V3: 191 pages, Lecture 14 added. V4: 202 pages, Duality properties added in Lectures 5 & 7. V5: revised and corrected version: 242 pages MSC-class: 34M40, 32C38, 35A27 \\ ( http://arxiv.org/abs/0912.2762 , 2859kb) ------------------------------------------------------------------------------ \\ arXiv:1005.0376 replaced with revised version Tue, 3 Apr 2012 10:10:51 GMT (266kb) Title: Quenched exit estimates and ballisticity conditions for higher-dimensional random walk in random environment Authors: Alexander Drewitz, Alejandro F. Ram\'irez Categories: math.PR Comments: Published in at http://dx.doi.org/10.1214/10-AOP637 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org) Report-no: IMS-AOP-AOP637 Journal-ref: Annals of Probability 2012, Vol. 40, No. 2, 459-534 DOI: 10.1214/10-AOP637 \\ ( http://arxiv.org/abs/1005.0376 , 266kb) ------------------------------------------------------------------------------ \\ arXiv:1010.4552 replaced with revised version Tue, 3 Apr 2012 14:03:26 GMT (18kb) Title: Projections and relative hyperbolicity Authors: Alessandro Sisto Categories: math.MG math.GR math.GT Comments: The previous version has been split, the present version is a revision of the first part of the old version. The second part is now called "Tree-graded asymptotic cones" \\ ( http://arxiv.org/abs/1010.4552 , 18kb) ------------------------------------------------------------------------------ \\ arXiv:1011.4696 replaced with revised version Tue, 3 Apr 2012 02:45:46 GMT (29kb) Title: Strichartz estimates on asymptotically de Sitter spaces Authors: Dean Baskin Categories: math.AP math.DG Comments: 36 pages; minor changes made in response to referee report MSC-class: 35L05, 35Q75, 58J45 \\ ( http://arxiv.org/abs/1011.4696 , 29kb) ------------------------------------------------------------------------------ \\ arXiv:1012.2902 replaced with revised version Tue, 3 Apr 2012 01:13:34 GMT (142kb,D) Title: On the Stationary Distribution of Iterative Imputations Authors: Jingchen Liu, Andrew Gelman, Jennifer Hill, Yu-Sung Su Categories: math.ST stat.TH Comments: 38 pages and 5 figures MSC-class: 62D05, 62E20 \\ ( http://arxiv.org/abs/1012.2902 , 142kb) ------------------------------------------------------------------------------ \\ arXiv:1012.5039 (*cross-listing*) replaced with revised version Tue, 3 Apr 2012 01:23:40 GMT (246kb) Title: Isotropic Entanglement Authors: Ramis Movassagh, Alan Edelman Categories: quant-ph cond-mat.stat-mech math-ph math.MP Comments: 29 pages, 27 figures, 8 tables \\ ( http://arxiv.org/abs/1012.5039 , 246kb) ------------------------------------------------------------------------------ \\ arXiv:1101.4752 (*cross-listing*) replaced with revised version Mon, 2 Apr 2012 22:59:53 GMT (134kb,D) Title: A Primal-Dual Convergence Analysis of Boosting Authors: Matus Telgarsky Categories: cs.LG math.OC Comments: 40 pages, 8 figures; the NIPS 2011 submission "The Fast Convergence of Boosting" is a brief presentation of the primary results; compared with the JMLR version, this arXiv version has hyperref and some formatting tweaks Journal-ref: Journal of Machine Learning Research, 13:561-606, 2012 \\ ( http://arxiv.org/abs/1101.4752 , 134kb) ------------------------------------------------------------------------------ \\ arXiv:1103.0396 replaced with revised version Tue, 3 Apr 2012 07:12:18 GMT (23kb) Title: Generalized quantifiers in Dependence Logic Authors: Fredrik Engstr\"om Categories: math.LO Comments: 22 pages DOI: 10.1007/s10849-012-9162-4 \\ ( http://arxiv.org/abs/1103.0396 , 23kb) ------------------------------------------------------------------------------ \\ arXiv:1103.1469 replaced with revised version Tue, 3 Apr 2012 18:08:42 GMT (14kb) Title: Subsequent Singularities in Mean-Convex Mean Curvature Flow Authors: Brian White Categories: math.DG Comments: 11 pages. Missing citation supplied in new (April 2, 2012) version MSC-class: Primary 53C44, Secondary 49Q20 \\ ( http://arxiv.org/abs/1103.1469 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:1103.2459 replaced with revised version Tue, 3 Apr 2012 01:26:00 GMT (26kb) Title: Local cohomology of logarithmic forms Authors: Graham Denham, Hal Schenck, Mathias Schulze, Uli Walther, Max Wakefield Categories: math.AG math.CO Comments: 21 pages MSC-class: 32S22, 52C35, 16W25 \\ ( http://arxiv.org/abs/1103.2459 , 26kb) ------------------------------------------------------------------------------ \\ arXiv:1103.3581 replaced with revised version Tue, 3 Apr 2012 05:41:10 GMT (12kb) Title: A note on groups in which the centraliser of every element of order 5 is a 5-group Authors: Sarah Astill, Chris Parker and Rebecca Waldecker Categories: math.GR \\ ( http://arxiv.org/abs/1103.3581 , 12kb) ------------------------------------------------------------------------------ \\ arXiv:1105.1892 (*cross-listing*) replaced with revised version Tue, 3 Apr 2012 10:23:28 GMT (17kb) Title: Lattice QCD and the Timelike Pion Form Factor Authors: Harvey B. Meyer Categories: hep-lat hep-ph math-ph math.MP Comments: 4 pages, 1 figure; corrects a factor 2 in Eq. (6) over the published version Journal-ref: Phys.Rev.Lett.107:072002,2011 DOI: 10.1103/PhysRevLett.107.072002 \\ ( http://arxiv.org/abs/1105.1892 , 17kb) ------------------------------------------------------------------------------ \\ arXiv:1106.1588 replaced with revised version Tue, 3 Apr 2012 08:10:02 GMT (16kb) Title: A closer look at the stacks of stable pointed curves Authors: Finn F. Knudsen Categories: math.AG Comments: 17 pages MSC-class: 14H10 DOI: 10.1016/j.jpaa.2012.03.21 \\ ( http://arxiv.org/abs/1106.1588 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:1106.2267 replaced with revised version Tue, 3 Apr 2012 17:45:30 GMT (8kb) Title: Noncommutative sets of small doubling Authors: Terence Tao Categories: math.CO Comments: 8 pages, no figures. To appear, European Journal of Combinatorics. This is the final version, incorporating the referee corrections MSC-class: 11B30 \\ ( http://arxiv.org/abs/1106.2267 , 8kb) ------------------------------------------------------------------------------ \\ arXiv:1106.2716 replaced with revised version Tue, 3 Apr 2012 19:08:38 GMT (180kb,D) Title: Endpoint distribution of directed polymers in 1+1 dimensions Authors: Gregorio Moreno Flores, Jeremy Quastel, Daniel Remenik Categories: math.PR math-ph math.MP Comments: Expanded introduction \\ ( http://arxiv.org/abs/1106.2716 , 180kb) ------------------------------------------------------------------------------ \\ arXiv:1106.2717 replaced with revised version Tue, 3 Apr 2012 19:05:21 GMT (60kb) Title: Continuum statistics of the Airy2 process Authors: Ivan Corwin, Jeremy Quastel, Daniel Remenik Categories: math.PR math-ph math.MP Comments: More details added, some minor mistakes corrected \\ ( http://arxiv.org/abs/1106.2717 , 60kb) ------------------------------------------------------------------------------ \\ arXiv:1107.1794 replaced with revised version Mon, 2 Apr 2012 23:19:01 GMT (12kb) Title: Some Aspects of Modeling Dependence in Copula-based Markov chains Authors: Martial Longla and Magda Peligrad Categories: math.PR Comments: 12 pages MSC-class: 60J20, 60J35, 37A30 DOI: 10.1016/j.jmva.2012.01.025 \\ ( http://arxiv.org/abs/1107.1794 , 12kb) ------------------------------------------------------------------------------ \\ arXiv:1107.2082 replaced with revised version Tue, 3 Apr 2012 14:11:32 GMT (57kb) Title: Classification of Simple Lie Algebras on a Lattice Authors: Kenji Iohara and Olivier Mathieu Categories: math.RT math-ph math.MP \\ ( http://arxiv.org/abs/1107.2082 , 57kb) ------------------------------------------------------------------------------ \\ arXiv:1107.4501 (*cross-listing*) replaced with revised version Tue, 3 Apr 2012 07:30:59 GMT (53kb) Title: Global attractor and asymptotic dynamics in the Kuramoto model for coupled noisy phase oscillators Authors: Giambattista Giacomin, Khashayar Pakdaman, Xavier Pellegrin Categories: nlin.AO math-ph math.MP Comments: revised version, 28 pages, 4 figures MSC-class: 37N25, 37B25, 92B25, 82C26 Journal-ref: This article was published in issue 5, 2012 of Nonlinearity, please go to http://iopscience.iop.org/0951-7715/25/5/1247 for the published version of the article \\ ( http://arxiv.org/abs/1107.4501 , 53kb) ------------------------------------------------------------------------------ \\ arXiv:1108.0773 replaced with revised version Mon, 2 Apr 2012 21:01:32 GMT (41kb,D) Title: Energy-minimal diffeomorphisms between doubly connected Riemann surfaces Authors: David Kalaj Categories: math.CV math.DG Comments: 32 pages. Some minor style changes appear in this version \\ ( http://arxiv.org/abs/1108.0773 , 41kb) ------------------------------------------------------------------------------ \\ arXiv:1108.0788 replaced with revised version Tue, 3 Apr 2012 17:01:20 GMT (14kb) Title: A new family of time-space harmonic polynomials with respect to L\'evy processes Authors: E. Di Nardo and I. Oliva Categories: math.PR math.CO Comments: In press on Comm. Statist. Theory Methods \\ ( http://arxiv.org/abs/1108.0788 , 14kb) ------------------------------------------------------------------------------ \\ arXiv:1108.1615 replaced with revised version Tue, 3 Apr 2012 16:45:13 GMT (10kb) Title: Multivariate Bernoulli and Euler polynomials via L\'evy processes Authors: E. Di Nardo, I. Oliva Categories: math.CO DOI: 10.1016/j.aml.2012.02.033 \\ ( http://arxiv.org/abs/1108.1615 , 10kb) ------------------------------------------------------------------------------ \\ arXiv:1109.3745 (*cross-listing*) replaced with revised version Tue, 3 Apr 2012 17:43:19 GMT (305kb,D) Title: A KdV-like advection-dispersion equation with some remarkable properties Authors: Abhijit Sen, Dilip P. Ahalpara, Anantanarayanan Thyagaraja and Govind S. Krishnaswami Categories: nlin.PS cs.NE math.AP physics.flu-dyn Comments: 15 pages, 4 figures, added new material and references DOI: 10.1016/j.cnsns.2012.03.001 \\ ( http://arxiv.org/abs/1109.3745 , 305kb) ------------------------------------------------------------------------------ \\ arXiv:1109.5437 replaced with revised version Tue, 3 Apr 2012 18:10:33 GMT (94kb,D) Title: Vapnik-Chervonenkis density in some theories without the independence property, II Authors: M. Aschenbrenner, A. Dolich, D. Haskell, D. Macpherson, S. Starchenko Categories: math.LO math.CO Comments: 53 pp \\ ( http://arxiv.org/abs/1109.5437 , 94kb) ------------------------------------------------------------------------------ \\ arXiv:1109.5707 (*cross-listing*) replaced with revised version Mon, 2 Apr 2012 20:09:02 GMT (680kb) Title: The evolution of pebble size and shape in space and time Authors: G. Domokos and G. W. Gibbons Categories: physics.geo-ph cond-mat.soft math-ph math.MP Comments: 22 pages, 8 figures \\ ( http://arxiv.org/abs/1109.5707 , 680kb) ------------------------------------------------------------------------------ \\ arXiv:1110.1946 replaced with revised version Tue, 3 Apr 2012 15:20:08 GMT (15kb) Title: Singular polynomials from orbit spaces Authors: M. Feigin, A. Silantyev Categories: math.RT hep-th math-ph math.DG math.MP math.QA nlin.SI Comments: 17 pages; a relevant reference is added and other minor changes; to appear in Compositio Math \\ ( http://arxiv.org/abs/1110.1946 , 15kb) ------------------------------------------------------------------------------ \\ arXiv:1110.4454 replaced with revised version Tue, 3 Apr 2012 03:19:28 GMT (21kb) Title: Recent works on the Strauss conjecture Authors: Chengbo Wang and Xin Yu Categories: math.AP Comments: 21 pages, no figures. No changes in content, but disable the usage of the package showkeys MSC-class: 35L05, 35L70 \\ ( http://arxiv.org/abs/1110.4454 , 21kb) ------------------------------------------------------------------------------ \\ arXiv:1110.4961 replaced with revised version Tue, 3 Apr 2012 12:12:42 GMT (16kb,A) Title: A Smirnov-Bickel-Rosenblatt theorem for compactly-supported wavelets Authors: Adam D. Bull Categories: math.ST math.NA stat.TH MSC-class: 62G20 (Primary), 62G07, 62G08, 62G15, 65T60 (Secondary) \\ ( http://arxiv.org/abs/1110.4961 , 16kb) ------------------------------------------------------------------------------ \\ arXiv:1110.6501 replaced with revised version Tue, 3 Apr 2012 05:46:49 GMT (15kb) Title: Algebras standardly stratified for all partial orders Authors: Liping Li Categories: math.RT math.RA Comments: Big revision has been made, and new results have been added MSC-class: 16G10 \\ ( http://arxiv.org/abs/1110.6501 , 15kb) ------------------------------------------------------------------------------ \\ arXiv:1111.0217 replaced with revised version Tue, 3 Apr 2012 13:30:04 GMT (9kb) Title: A geometric measure-type regularity criterion for solutions to the 3D Navier-Stokes equations Authors: Zoran Grujic Categories: math.AP math-ph math.MP Comments: 9 pp; purged the section on `amorphous scenario' \\ ( http://arxiv.org/abs/1111.0217 , 9kb) ------------------------------------------------------------------------------ \\ arXiv:1111.1657 replaced with revised version Tue, 3 Apr 2012 13:41:46 GMT (27kb) Title: Polyhedral models for generalized associahedra via Coxeter elements Authors: Salvatore Stella Categories: math.CO Comments: 31 pages, 2 figures. Changelog: 20111106: initial version 20120403: fixed errors in figures \\ ( http://arxiv.org/abs/1111.1657 , 27kb) ------------------------------------------------------------------------------ \\ arXiv:1111.3512 replaced with revised version Tue, 3 Apr 2012 12:45:26 GMT (9kb) Title: Analogies between the geodetic number and the Steiner number of some classes of graphs Authors: Ismael G. Yero, Juan A. Rodriguez-Velazquez Categories: math.CO MSC-class: 05C69, 05C12, 05C76 \\ ( http://arxiv.org/abs/1111.3512 , 9kb) ------------------------------------------------------------------------------ \\ arXiv:1111.4640 replaced with revised version Tue, 3 Apr 2012 18:35:32 GMT (45kb) Title: A homological study of Green polynomials Authors: Syu Kato Categories: math.RT Comments: 42pp, v2: added Cor. 3.9, v3: generalized definitions/results in \S 2. v4: added Cor. 5.8/Appendix B, and changed some terminology on symbols. other minor changes/corrections \\ ( http://arxiv.org/abs/1111.4640 , 45kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6325 replaced with revised version Tue, 3 Apr 2012 05:29:13 GMT (879kb,D) Title: Microlocal properties of sheaves and complex WKB Authors: Alexander Getmanenko, Dmitry Tamarkin Categories: math-ph math.AP math.CA math.MP Comments: 1) an assumption has been added to the main result (which still holds for an arbitrary polynomial potential); 2) references to related work by other authors have been added; 3) other minor corrections \\ ( http://arxiv.org/abs/1111.6325 , 879kb) ------------------------------------------------------------------------------ \\ arXiv:1111.6910 replaced with revised version Tue, 3 Apr 2012 16:41:59 GMT (23kb) Title: Umbilical-Type Surfaces in Spacetime Authors: Jos\'e M. M. Senovilla Categories: math.DG gr-qc math-ph math.MP Comments: 23 pages, no figures. Contribution submitted to the Proceedings of the IV International Meeting on Lorentzian Geometry (GELOGRA, Granada 2011). Several corrections and additions, new examples and remarks. References added MSC-class: 53A35, 53B30, 53B25 \\ ( http://arxiv.org/abs/1111.6910 , 23kb) ------------------------------------------------------------------------------ \\ arXiv:1111.7146 replaced with revised version Tue, 3 Apr 2012 08:51:29 GMT (6kb) Title: The asymptotic Berry-Esseen constant for intervals Authors: Todor Dinev, Lutz Mattner Categories: math.PR Comments: 4 pages. References updated, minor corrections in Lemma 2.2. To appear in Teoriya Veroyatnostei i ee Primeneniya MSC-class: 60F05 (Primary) 60E15 (Secondary) \\ ( http://arxiv.org/abs/1111.7146 , 6kb) ------------------------------------------------------------------------------ \\ arXiv:1111.7274 replaced with revised version Tue, 3 Apr 2012 14:36:33 GMT (29kb) Title: On the full calculus of pseudo-differential operators on boundary groupoids with polynomial growth Authors: Bing Kwan So Categories: math.AP math.DG Comments: v2: corrected 4.12 and proof of 4.11 MSC-class: 58H05, 58J05, 35S05 \\ ( http://arxiv.org/abs/1111.7274 , 29kb) ------------------------------------------------------------------------------ \\ arXiv:1112.0351 replaced with revised version Mon, 2 Apr 2012 21:57:36 GMT (39kb) Title: Generalized Solutions to Semilinear Elliptic PDE with Applications to the Lichnerowicz Equation Authors: Michael Holst and Caleb Meier Categories: math.AP gr-qc math-ph math.MP Comments: 34 pages, no figures. Version 2 contains minor corrections/updates \\ ( http://arxiv.org/abs/1112.0351 , 39kb) ------------------------------------------------------------------------------ \\ arXiv:1112.4832 replaced with revised version Tue, 3 Apr 2012 19:56:17 GMT (38kb) Title: Affine actions on non-archimedean trees Authors: Shane O Rourke Categories: math.GR Comments: 27 pages. Section 1.4 expanded, typos corrected from previous version MSC-class: 20E08, 20F65 \\ ( http://arxiv.org/abs/1112.4832 , 38kb) ------------------------------------------------------------------------------ \\ arXiv:1112.5660 (*cross-listing*) replaced with revised version Tue, 3 Apr 2012 18:46:01 GMT (35kb) Title: Conformal Lifshitz Gravity from Holography Authors: Tom Griffin, Petr Horava, Charles M. Melby-Thompson Categories: hep-th cond-mat.str-el gr-qc math.DG Comments: 41 pages; v2: typos corrected, references added \\ ( http://arxiv.org/abs/1112.5660 , 35kb) ------------------------------------------------------------------------------ \\ arXiv:1112.5960 replaced with revised version Tue, 3 Apr 2012 17:01:11 GMT (153kb,D) Title: The Gram dimension of a graph Authors: Monique Laurent, Antonios Varvitsiotis Categories: math.CO math.OC Comments: 12 pages, 1 Figure. Extended abstract to appear in the proceedings of ISCO 2012. The full version of the paper is available under the title "A new graph parameter related to bounded rank positive semidefinite matrix completions" \\ ( http://arxiv.org/abs/1112.5960 , 153kb) ------------------------------------------------------------------------------ \\ arXiv:1201.0310 replaced with revised version Tue, 3 Apr 2012 07:56:19 GMT (1143kb) Title: Positive definite completion problems for directed acyclic graphs Authors: Emanuel Ben-David and Bala Rajaratnam Categories: math.RA math.CO math.ST stat.TH MSC-class: 15B48, 15B57, 15B99, 05C50, 05C20, 05C17 \\ ( http://arxiv.org/abs/1201.0310 , 1143kb) ------------------------------------------------------------------------------ \\ arXiv:1201.5567 replaced with revised version Tue, 3 Apr 2012 19:31:18 GMT (24kb,D) Title: Sharp Estimates for Turbulence in White-Forced Generalised Burgers Equation Authors: Alexandre Boritchev Categories: math-ph math.AP math.MP \\ ( http://arxiv.org/abs/1201.5567 , 24kb) ------------------------------------------------------------------------------ \\ arXiv:1202.0472 replaced with revised version Tue, 3 Apr 2012 15:40:27 GMT (32kb) Title: Tangency properties of sets with finite geometric curvature energies Authors: Sebastian Scholtes Categories: math.CA math.MG Comments: 38 pages MSC-class: 28A75 \\ ( http://arxiv.org/abs/1202.0472 , 32kb) ------------------------------------------------------------------------------ \\ arXiv:1202.0706 replaced with revised version Tue, 3 Apr 2012 07:52:11 GMT (20kb) Title: Harnack Inequalities for Subordinate Brownian Motions Authors: Panki Kim and Ante Mimica Categories: math.PR \\ ( http://arxiv.org/abs/1202.0706 , 20kb) ------------------------------------------------------------------------------ \\ arXiv:1202.1740 replaced with revised version Tue, 3 Apr 2012 11:41:31 GMT (457kb) Title: A Diversity-Multiplexing-Delay Tradeoff of ARQ Protocols in The Z-interference Channel Authors: Mohamed S. Nafea, D. Hamza, Karim G. Seddik, Mohammed Nafie, Hesham El Gamal Categories: cs.IT math.IT Comments: Submitted to International Symposium on Information Theory (ISIT) 2012 \\ ( http://arxiv.org/abs/1202.1740 , 457kb) ------------------------------------------------------------------------------ \\ arXiv:1202.2479 replaced with revised version Tue, 3 Apr 2012 05:52:19 GMT (0kb,I) Title: A classification of algebras stratified for all preorders by Koszul theory Authors: Liping Li Categories: math.RT math.RA Comments: This paper has been withdrawn by the author since it is replaced by another paper "algebras stratified for all partial orders" \\ ( http://arxiv.org/abs/1202.2479 , 0kb) ------------------------------------------------------------------------------ \\ arXiv:1202.2561 replaced with revised version Tue, 3 Apr 2012 12:36:37 GMT (1710kb) Title: On the Diversity Gain Region of the Z-interference Channels Authors: Mohamed S. Nafea, Karim G. Seddik, Mohammed Nafie and Hesham El Gamal Categories: cs.IT math.IT Comments: Has been accepted by IEEE ICC 2012 - Communications Theory symposium(CT) \\ ( http://arxiv.org/abs/1202.2561 , 1710kb) ------------------------------------------------------------------------------ \\ arXiv:1202.3158 (*cross-listing*) replaced with revised version Tue, 3 Apr 2012 15:26:36 GMT (12kb) Title: Properties of Hubbard models with degenerate localized single particle eigenstates Authors: Andreas Mielke Categories: cond-mat.str-el math-ph math.MP Comments: 11 pages, no figures. Complete revision of the paper with many changes \\ ( http://arxiv.org/abs/1202.3158 , 12kb) ------------------------------------------------------------------------------ \\ arXiv:1202.3519 replaced with revised version Mon, 2 Apr 2012 20:11:00 GMT (19kb) Title: Failure of interpolation in the intuitionistic logic of constant domains Authors: Grigori Mints, Grigory Olkhovikov and Alasdair Urquhart Categories: math.LO Comments: 13 pages, 0 figures. Overlaps with arXiv 1202.1195 removed, the text thouroughly reworked in terms of notation and style, historical notes as well as some other minor details added \\ ( http://arxiv.org/abs/1202.3519 , 19kb) ------------------------------------------------------------------------------ \\ arXiv:1202.4658 replaced with revised version Tue, 3 Apr 2012 05:37:50 GMT (117kb) Title: Misere Hackenbush is NP-Hard Authors: Fraser Stewart Categories: math.CO \\ ( http://arxiv.org/abs/1202.4658 , 117kb) ------------------------------------------------------------------------------ \\ arXiv:1202.5587 replaced with revised version Mon, 2 Apr 2012 22:56:21 GMT (25kb,D) Title: A cluster expansion approach to exponential random graph models Authors: Mei Yin Categories: math-ph math.MP math.PR Comments: 13 pages, 1 figure \\ ( http://arxiv.org/abs/1202.5587 , 25kb) ------------------------------------------------------------------------------ \\ arXiv:1202.6178 replaced with revised version Tue, 3 Apr 2012 13:42:23 GMT (10kb) Title: Cyclic groups of automorphisms of complex K3 surfaces Authors: JongHae Keum Categories: math.AG Comments: 13 pages. Th existence of order 60 is included MSC-class: 14J28 \\ ( http://arxiv.org/abs/1202.6178 , 10kb) ------------------------------------------------------------------------------ \\ arXiv:1203.1575 replaced with revised version Tue, 3 Apr 2012 15:19:11 GMT (20kb) Title: Landau levels in a 2D noncommutative space: matrix and quaternionic vector coherent states Authors: M. N. Hounkonnou and I. Aremua Categories: math-ph math.MP \\ ( http://arxiv.org/abs/1203.1575 , 20kb) ------------------------------------------------------------------------------ \\ arXiv:1203.2727 replaced with revised version Tue, 3 Apr 2012 03:14:39 GMT (61kb,D) Title: The Littlewood-Richardson rule and Gelfand-Tsetlin patterns Authors: Patrick Doolan, Sangjib Kim Categories: math.CO Comments: 19 pages MSC-class: 05E10, 20G05, 52B20 \\ ( http://arxiv.org/abs/1203.2727 , 61kb) ------------------------------------------------------------------------------ \\ arXiv:1203.5616 replaced with revised version Tue, 3 Apr 2012 13:12:41 GMT (30kb) Title: Orders of automorphisms of K3 surfaces Authors: JongHae Keum Categories: math.AG Comments: 43 pages. The existence of order 60 is included MSC-class: 14J28, 14J50, 20D08 \\ ( http://arxiv.org/abs/1203.5616 , 30kb) ------------------------------------------------------------------------------ \\ arXiv:1203.5741 replaced with revised version Mon, 2 Apr 2012 21:03:00 GMT (93kb) Title: Khovanov homology of a unicolored B-adequate link has a tail Authors: Lev Rozansky Categories: math.GT Comments: 31 pages; proved that the tail of Khovanov homology is invariant under B-reduction MSC-class: 57M27 \\ ( http://arxiv.org/abs/1203.5741 , 93kb) ------------------------------------------------------------------------------ \\ arXiv:1203.5977 replaced with revised version Tue, 3 Apr 2012 03:45:30 GMT (8kb) Title: On the further properties of $\{U_n\}$ Authors: Zhi-Hong Sun Categories: math.NT math.CO Comments: 10 pages MSC-class: 11A07, 11B68 \\ ( http://arxiv.org/abs/1203.5977 , 8kb) ------------------------------------------------------------------------------ \\ arXiv:1203.6492 replaced with revised version Tue, 3 Apr 2012 11:07:56 GMT (36kb) Title: Surjunctivity and reversibility of cellular automata over concrete categories Authors: Tullio Ceccherini-Silberstein and Michel Coornaert Categories: math.DS math.GR \\ ( http://arxiv.org/abs/1203.6492 , 36kb) ------------------------------------------------------------------------------ \\ arXiv:1203.6498 replaced with revised version Tue, 3 Apr 2012 07:20:42 GMT (49kb) Title: Espaces de Berkovich, polytopes, squelettes et th\'eorie des mod\`eles Authors: Antoine Ducros Categories: math.AG Comments: In the first version I forgot to mention a bound on the dimension in th. 3.3, assertion 1); I've added it MSC-class: 14 G 14G22, 12J10 \\ ( http://arxiv.org/abs/1203.6498 , 49kb) ------------------------------------------------------------------------------ \\ arXiv:1203.6648 replaced with revised version Tue, 3 Apr 2012 15:59:28 GMT (56kb,D) Title: On volumes of hyperbolic Coxeter polytopes and quadratic forms Authors: John G. Ratcliffe and Steven T. Tschantz Categories: math.GT math.GR Comments: 17 pages, 1 Table, and 1 Figure. In version 2 we corrected some typos and clarified that the matrix S has integral entries MSC-class: 20F55, 51F15, 11E45 \\ ( http://arxiv.org/abs/1203.6648 , 56kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0111 (*cross-listing*) replaced with revised version Tue, 3 Apr 2012 02:42:16 GMT (5016kb,D) Title: A parallel sweeping preconditioner for high frequency heterogeneous 3D Helmholtz equations Authors: Jack Poulson, Bj\"orn Engquist, Sergey Fomel, Siwei Li, and Lexing Ying Categories: cs.NA math.NA Comments: Fixed typos in Fig. 1.2 and Alg. 1.5 \\ ( http://arxiv.org/abs/1204.0111 , 5016kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0272 replaced with revised version Tue, 3 Apr 2012 18:37:24 GMT (8kb) Title: Hermite-Hadamard's inequalities for preinvex functions via fractional integrals and related fractional inequalities Authors: Imdat Iscan Categories: math.CA Comments: 11 pages MSC-class: 26D10, 26D15, 26A51 \\ ( http://arxiv.org/abs/1204.0272 , 8kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0321 replaced with revised version Tue, 3 Apr 2012 05:24:28 GMT (0kb,I) Title: The averaging principle Authors: Gadi Fibich, Arieh Gavious, Eilon Solan Categories: math.PR Comments: Withdrawn by authors \\ ( http://arxiv.org/abs/1204.0321 , 0kb) ------------------------------------------------------------------------------ \\ arXiv:1204.0338 replaced with revised version Tue, 3 Apr 2012 13:30:38 GMT (41kb) Title: The Complex of Non-separating embedded spheres Authors: Suhas Pandit Categories: math.GT Comments: 22 pages, 4 figures \\ ( http://arxiv.org/abs/1204.0338 , 41kb) %%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%---%%%--- For general information on the new math archive (partitioned by keyword subject classification), see http://arXiv.org/new/math.html For subscribe options to combined math archives, e-mail To: math@arXiv.org, Subject: subscribe