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Mathematics: Recent submissions
Now showing items 81-100 of 462
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The Partitionability Conjecture
(American Mathematical Society, 2017-02)In 1979 Richard Stanley made the following conjecture: Every Cohen-Macaulay simplicial complex is partitionable. Motivated by questions in the theory of face numbers of simplicial complexes, the Partitionability Conjecture ... -
A canonical expansion for the equation of a ruled surface
(University of Kansas, 1929) -
The generation by pencils of lines of certain plane cubic curves
(University of Kansas, 1931) -
The Riemann surface for the function W²=Z⁴+2A²Z²+B²
(University of Kansas, 1932) -
Number scales
(University of Kansas, 1931) -
Certain propositions of the triangle
(University of Kansas, 1932) -
Determinants as defined by differential equations
(University of Kansas, 1931) -
Canonical expansions for the equations of curves
(University of Kansas, 1932) -
Alignment arrangements in a modular plane
(University of Kansas, 1929) -
Certain plane configurations
(University of Kansas, 1930) -
Multiplicities in Commutative Algebra
(University of Kansas, 2016-08-31)This dissertation explores the notion of multiplicity and its generalizations within the theory of commutative algebra. Chapter 2 is dedicated to calculating the limits which give rise to Buchsbaum-Rim multiplicities. We ... -
Composing Scalable Nonlinear Algebraic Solvers
(Society for Industrial and Applied Mathematics (SIAM), 2015-11-05)Most efficient linear solvers use composable algorithmic components, with the most common model being the combination of a Krylov accelerator and one or more preconditioners. A similar set of concepts may be used for ... -
A FETI-DP TYPE DOMAIN DECOMPOSITION ALGORITHM FOR THREE-DIMENSIONAL INCOMPRESSIBLE STOKES EQUATIONS
(Society for Industrial and Applied Mathematics, 2015-03-03)The FETI-DP (dual-primal finite element tearing and interconnecting) algorithms, proposed by the authors in [SIAM J. Numer. Anal., 51 (2013), pp. 1235–1253] and [Internat. J. Numer. Methods Engrg., 94 (2013), pp. 128–149] ... -
Nonexistence of soliton-like solutions for defocusing generalized KdV equations
(Texas State University, Department of Mathematics, 2015-02-24)We consider the global dynamics of the defocusing generalized KdV equation $$ \partial_t u + \partial_x^3 u = \partial_x(|u|^{p-1}u). $$ We use Tao's theorem [5] that the energy moves faster than the mass to prove a ... -
On L2 modulus of continuity of Brownian local times and Riesz potentials
(Institute of Mathematical Statistics, 2015-05-05)This article is concerned with modulus of continuity of Brownian local times. Specifically, we focus on three closely related problems: (a) Limit theorem for a Brownian modulus of continuity involving Riesz potentials, ... -
Stochastic heat equations with general multiplicative Gaussian noises: Hölder continuity and intermittency
(Institute of Mathematical Statistics, 2016-06-04)This paper studies the stochastic heat equation with multiplicative noises of the form uW, where W is a mean zero Gaussian noise and the differential element uW is interpreted both in the sense of Skorohod and Stratonovich. ... -
Density convergence in the Breuer-Major theorem for Gaussian stationary sequences
(Bernoulli Society for Mathematical Statistics and Probability, 2015)Consider a Gaussian stationary sequence with unit variance X={Xk;k∈N∪{0}}. Assume that the central limit theorem holds for a weighted sum of the form Vn=n−1/2∑n−1k=0f(Xk), where f designates a finite sum of Hermite ... -
Effects of (Small) Permanent Charge and Channel Geometry on Ionic Flows via Classical Poisson--Nernst--Planck Models
(Society for Industrial and Applied Mathematics, 2015-01-15)In this work, we examine effects of permanent charges on ionic flows through ion channels via a quasi-one-dimensional classical Poisson--Nernst--Planck (PNP) model. The geometry of the three-dimensional channel is presented ... -
Stability of Periodic Traveling Waves for Nonlinear Dispersive Equations
(Society for Industrial and Applied Mathematics, 2015-09-17)We study the stability and instability of periodic traveling waves for Korteweg--de Vries-type equations with fractional dispersion and related, nonlinear dispersive equations. We show that a local constrained minimizer ... -
On summation of finite series
(University of Kansas, 1929)