Mathematics Scholarly Works: Recent submissions
Now showing items 2140 of 283

Interval parking functions
(Elsevier, 20201116)Interval parking functions (IPFs) are a generalization of ordinary parking functions in which each car is willing to park only in a fixed interval of spaces. Each interval parking function can be expressed as a pair (a, ... 
Asymptoticlp Banach Spaces and the Property of Lebesgue
(20200615)The primary contribution of this work is to nearly characterize the Property of Lebesgue for Banach spaces that behave in a global asymptotic sense like lp. This generalizes a number of individual results that are collected ... 
PLANETARY ORBITS IN CONSTANT CURVATURE PLANES
(University of Kansas, 20191109)A law of gravitation is defined and justified for constant curvature planes and it is demonstrated that Kepler’s three laws of planetary motion have natural analogs in this new context. 
MASS IN HYPERBOLIC 3SPACE
(University of Kansas, 20190113)Contents: 1. A hyperbolic Theorem of Pappus. 2. A hyperbolic version of Newton’s Theorem that the center of gravity and the center of mass of the uniform sphere are identical. 3. A hyperbolic version of the ... 
MASS IN THE HYPERBOLIC PLANE
(University of Kansas, 20190217)Archimedes computed the center of mass of several regions and bodies [Dijksterhuis], and this fundamental physical notion may very well be due to him. He based his investigations of this concept on the notion of moment ... 
MASS IN HYPERBOLIC GEOMETRY
(University of Kansas, 20080313)Archimedes computed the center of mass of several regions and solid bodies [Dijksterhuis], and this fundamental physical notion may very well be due to him. He based his investigations of this concept on the notion of ... 
HYPERBOLIC CENTROIDS OF SOME REGIONS
(University of Kansas, 20060117)Explicit expressions for the centroids of hyperbolic pie shapes and isosce les triangles are found and compared to their Euclidean analogs. 
Large Deviations for Stochastic Heat Equation with Rough Dependence in Space
(Bernoulli Society, 20170727)In this paper we establish a large deviation principle for the nonlinear one dimensional stochastic heat equation driven by a Gaussian noise which is white in time and which has the covariance of a fractional Brownian ... 
History of the Department of Mathematics of the University of Kansas, 18861970
(University of Kansas, Kansas University Endowment Association, 1976)Francis Huntington Snow, in 1866, was the first member of the faculty to teach mathematics in The University of Kansas. From this auspicious beginning, mathematics developed into one of the major departments in the University; ... 
Optimal TimeDependent Lower Bound On Density For Classical Solutions of 1D Compressible Euler Equations
(Indiana University Mathematics Journal, 2017)For the compressible Euler equations, even when the initial data are uniformly away from vacuum, solution can approach vacuum in infinite time. Achieving sharp lower bounds of density is crucial in the study of Euler ... 
Periodic Traveling Waves of the Regularized Short Pulse and Ostrovsky Equations: Existence and Stability
(Society for Industrial and Applied Mathematics, 2017)We construct various periodic traveling wave solutions of the Ostrovsky/HunterSaxton/short pulse equation and its KdV regularized version. For the regularized short pulse model with small Coriolis parameter, we describe ... 
Accounting for Model Error from Unresolved Scales in Ensemble Kalman Filters by Stochastic Parameterization
(American Meteorological Society, 20170823)The use of discretetime stochastic parameterization to account for model error due to unresolved scales in ensemble Kalman filters is investigated by numerical experiments. The parameterization quantifies the model error ... 
Noncentral limit theorem for the generalized Rosenblatt process
(Institute of Mathematical Statistics, 2017)We use techniques of Malliavin calculus to study the convergence in law of a family of generalized Rosenblatt processes Zγ with kernels defined by parameters γ taking values in a tetrahedral region Δ of $\RR^q$. We prove ... 
The determinant of the iterated Malliavin matrix and the density of a pair of multiple integrals
(Institute of Mathematical Statistics, 2017)The aim of this paper is to show an estimate for the determinant of the covariance of a twodimensional vector of multiple stochastic integrals of the same order in terms of a linear combination of the expectation of the ... 
Formation enthalpies for transition metal alloys using machine learning
(Formation enthalpies for transition metal alloys using machine learning, 201706)The enthalpy of formation is an important thermodynamic property. Developing fast and accurate methods for its prediction is of practical interest in a variety of applications. Material informatics techniques based on ... 
Oscillation estimates of eigenfunctions via the combinatorics of noncrossing partitions
(Diamond Open Access Journals, 201709)We study oscillations in the eigenfunctions for a fractional Schrödinger operator on the real line. An argument in the spirit of Courant's nodal domain theorem applies to an associated local problem in the upper half plane ... 
Rate of convergence and asymptotic error distribution of Euler approximation schemes for fractional diffusions
(American Meteorological Society, 20160322)For a stochastic differential equation(SDE) driven by a fractional Brownian motion(fBm) with Hurst parameter H>12, it is known that the existing (naive) Euler scheme has the rate of convergence n1−2H. Since the limit H→12 ... 
Fluctuations of TASEP and LPP with general initial data
(Institute of Mathematical Statistics, 20150813)We prove Airy process variational formulas for the onepoint probability distribution of (discrete time parallel update) TASEP with general initial data, as well as last passage percolation from a general lattice path to ... 
A monotone Sinai theorem
(Institute of Mathematical Statistics, 20160202)Sinai proved that a nonatomic ergodic measurepreserving system has any Bernoulli shift of no greater entropy as a factor. Given a Bernoulli shift, we show that any other Bernoulli shift that is of strictly less entropy ... 
Quantitative stable limit theorems on the Wiener space
(Institute of Mathematical Statistics, 2016)We use Malliavin operators in order to prove quantitative stable limit theorems on the Wiener space, where the target distribution is given by a possibly multidimensional mixture of Gaussian distributions. Our findings ...