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Mathematics: Recent submissions
Now showing items 221-240 of 462
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A three-level BDDC algorithm for mortar discretizations
(Society for Industrial and Applied Mathematics, 2009-03-05)In this paper, a three-level balancing domain decomposition by constraints (BDDC) algorithm is developed for the solutions of large sparse algebraic linear systems arising from the mortar discretization of elliptic boundary ... -
An iterative implementation of the implicit nonlinear filter
(EDP Sciences, 2012-03-02)Implicit sampling is a sampling scheme for particle filters, designed to move particles one-by-one so that they remain in high-probability domains. We present a new derivation of implicit sampling, as well as a new iteration ... -
A Transmission Problem in the Scattering of Electromagnetic Waves by a Penetrable Object
(Society for Industrial and Applied Mathematics, 1996-10-05)Layer-potential techniques are used to study a transmission problem arising in the scattering of electromagnetic waves by a penetrable object. The method proposed does not involve the use of the calculus of pseudodifferential ... -
Discrete decompositions for bilinear operators and almost diagonal conditions
(American Mathematical Societ, 2002-10-23)Using discrete decomposition techniques, bilinear operators are naturally associated with trilinear tensors. An intrinsic size condition on the entries of such tensors is introduced and is used to prove boundedness for the ... -
Coherent light scattering of ultraviolet light by avian feather barbs
(University of California Press, 2003-04-05)Ultraviolet (UV) structural colors of avian feathers are produced by the spongy medullary keratin of feather barbs, but various physical mechanisms have been hypothesized to produce those colors, including Rayleigh scattering, ... -
Consistent estimation of the basic neighborhood of Markov random fields
(Institute of Mathematical Statistics, 2006-10-05)For Markov random fields on ℤd with finite state space, we address the statistical estimation of the basic neighborhood, the smallest region that determines the conditional distribution at a site on the condition that the ... -
On the rate of approximation in finite-alphabet longest increasing subsequence problems
(Institute of Mathematical Statistics, 2012-09-05)The rate of convergence of the distribution of the length of the longest increasing subsequence, toward the maximal eigenvalue of certain matrix ensembles, is investigated. For finite-alphabet uniform and nonuniform i.i.d. ... -
Divergence Rates of Markov Order Estimators and Their Application to Statistical Estimation of Stationary Ergodic Processes
(Bernoulli Society for Mathematical Statistics and Probability, 2013-09-05)Stationary ergodic processes with finite alphabets are estimated by finite memory processes from a sample, an n-length realization of the process, where the memory depth of the estimator process is also estimated from the ... -
On quadratic derivative Schrödinger equations in one space dimension
(American Mathematical Society, 2007-02-23)We consider the Schrödinger equation with derivative perturbation terms in one space dimension. For the linear equation, we show that the standard Strichartz estimates hold under specific smallness requirements on the ... -
Global well-posedness for the 2 D quasi-geostrophic equation in a critical Besov space
(Texas State University, Department of Mathematics, 2007-11-09) -
On the spectral theory and dispersive estimates for a discrete Schrödinger equation in one dimension
(American Institute of Physics, 2008-11-08)Based on the recent work [Komech et al., “Dispersive estimates for 1D discrete Schrödinger and Klein-Gordon equations,” Appl. Anal.85, 1487 (2006)] for compact potentials, we develop the spectral theory for the one-dimensional ... -
Asymptotic stability of small solitons in the discrete nonlinear Schrödinger equation in one dimension
(Society for Industrial and Applied Mathematics, 2009-11-05)Asymptotic stability of small bound states in one dimension is proved in the framework of a discrete nonlinear Schrödinger equation with septic and higher power-law nonlinearities and an external potential supporting a ... -
Global regularity for the minimal surface equation in Minkowskian geometry
(De Gruyter Open, 2011-05-05)We study the minimal surface equation in Minkowskian geometry in , which is a well-known quasilinear wave equation. The classical result of Lindblad, [Proc. Amer. Math. Soc. 132: 1095–1102, 2004], establishes global existence ... -
Asymptotic stability of small gap solitons in nonlinear Dirac equations
(American Institute of Physics, 2012-07-10)We prove dispersive decay estimates for the one-dimensional Dirac operator and use them to prove asymptotic stability of small gap solitons in the nonlinear Dirac equations with quintic and higher-order nonlinear terms. -
On the dynamics of the four‐dimensional rigid body in a quadratic potential field
(American Institute of Physics, 1995-04-19)We study the nondegenerated solutions of the rotation of a four‐dimensional rigid body in a quadratic potential field. This problem has 6 degrees of freedom. We obtain 143 topologically different solutions and explicit ... -
Conditional stability theorem for the one dimensional Klein-Gordon equation
(American Institute of Physics, 2011-10-24)The paper addresses the conditional non-linear stability of the steady state solutions of the one-dimensional Klein-Gordon equation for large time. We explicitly construct the center-stable manifold for the steady state ... -
Deterministic thinning of finite Poisson processes
(American Mathematical Society, 2011-08-19) -
Poisson splitting by factors
(Institute of Mathematical Statistics, 2011-11-02)Given a homogeneous Poisson process on ℝd with intensity λ, we prove that it is possible to partition the points into two sets, as a deterministic function of the process, and in an isometry-equivariant way, so that each ... -
Singular foliation C*-algebras
(American Mathematical Society, 1988-12-02)A way to construct C^*-algebras from the so-called singular foliations is proposed, which generalizes Connes' construction of C*-algebras of regular foliations. A certain desired property is shown to hold for such C*-algebras ... -
Toeplitz C*-algebras over pseudoconvex Reinhardt domains
(American Mathematical Society, 1989)