Browsing Mathematics, Statistics, and Physics by Title
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Typical points, invariant measures, and dimension for rational maps on the Riemann sphere
(200605)We present three original results for the dynamics of rational maps on the Riemann sphere. Using methods from dimension and ergodic theory, we discuss generalized physical measures and prove their existence for hyperbolic ... 
Unbiasedness of homogeneity test of normal mean vectors under multivariate order restrictions
(Wichita State University, 201705)This dissertation considers homogeneity test for comparing multivariate normal populations with generalized order restricted alternative hypothesis. The framework in this dissertation presents a generalized multivariate ... 
Unbiasedness of LRT on the homogeneity of means in MANOVA under general order restrictions
(Elsevier, 201905)In this paper a likelihood ratio test is developed through matrix projections for the hypothesis on the homogeneity of mean vectors in MANOVA. It is assumed that the mean vectors are under a general multivariate order ... 
Understanding the impact of improved hadron production measurements on accelerator neutrino particle beam flux uncertainties
(Wichita State University, 201912)One of the greatest challenges for neutrino experimentation is understanding the potential uncertainties in the collected data and models that are used for the Monte Carlo simulations. The neutrinonucleus hadronic cross ... 
Unexpected radial limit
(Wichita State University, 20170428)Consider a bounded solution ƒ of the prescribed mean curvature equation over a bounded domain Ω ⊂ R² which has a corner at which has a corner at (0, 0) of size 2α and assume the mean curvature of the graph of ƒ is bounded. ... 
Uniqueness and stability in the Cauchy Problem
(Springer, 2017)In this chapter we formulate and in many cases prove results on the uniqueness and stability of solutions of the Cauchy problem for general partial differential equations. One of the basic tools is Carlemantype estimates. ... 
Uniqueness and stability of determining the residual stress by one measurement
(Taylor & Francis Group, LLC, 2007)In this paper we prove a Hölder and Lipschitz stability estimates of determining the residual stress by a single pair of observations from a part of the lateral boundary or from the whole boundary. These estimates imply ... 
Uniqueness in one inverse problem for the elasticity system
(Plenum Publishing Corporation, 200407)We consider an inverse problem for the stationary elasticity system with constant Lam´e coefficients and a variable matrix coefficient depending on the spatial variables and frequency. The righthand side contains a ... 
Uniqueness of inverse source problems for some semilinear elliptic equations
(Wichita State University. Graduate School., 20070427)Uniqueness of positive f is established in the inverse source problem − Δu + c(x,u) = f (x) under conditions on the known coefficient c. This inverse problem is significant in the areas of semiconductor manufacturing, and ... 
The use of the variogram in construction of stationary time series models
(Applied Probability Trust, 200412)This paper studies a class of stationary covariance models, in both the discrete and the continuoustime domains, which possess a simple functional form γ(τ + τ0) + γ(τ  τ0)  2γ(τ), where τ0 is a fixed lag and γ(τ) is ... 
Variogram matrix functions for vector random fields with secondorder increments
(Springer, 201205)The variogram matrix function is an important measure for the dependence of a vector random field with secondorder increments, and is a useful tool for linear predication or cokriging. This paper proposes an efficient ... 
Vector random fields on the probability simplex with metricdependent covariance matrix functions
(Springer Nature, 20221201)This paper constructs a class of isotropic vector random fields on the probability simplex via infinite series expansions involving the ultraspherical polynomials, whose covariance matrix functions are functions of the ... 
Vector random fields with compactly supported covariance matrix functions
(Elsevier, 201303)The objective of this paper is to construct covariance matrix functions whose entries are compactly supported, and to use them as building blocks to formulate other covariance matrix functions for secondorder vector ... 
Vector stochastic processes with PolyaType correlation structure
(Wiley, 201708)This paper introduces a simple method to construct a stationary process on the real line with a Polyatype covariance function and with any infinitely divisible marginal distribution, by randomising the timescale of the ... 
Vertical blow ups of capillary surfaces in R3, part 2: nonconvex corners
(Texas State University  San Marcos, 200812)The goal of this note is to continue the investigation started in Part One of the structure of “blown up” sets of the form P × R and N × R when P,N R2 and P (or N) minimizes an appropriate functional and the domain ... 
Vertical blow ups of capillary surfaces in R3, part one: convex corners
(Texas State University  San Marcos, 200711)One technique which is useful in the calculus of variations is that of “blowing up”. This technique can contribute to the understanding of the boundary behavior of solutions of boundary value problems, especially when they ... 
Wellbalanced discontinuous Galerkin method for shallow water equations with constant subtraction techniques on unstructured meshes
(Springer US, 201910)The classical Saint–Venant shallow water equations on complex geometries have wide applications in many areas including coastal engineering and atmospheric modeling. The main numerical challenge in simulating Saint–Venant ... 
Why is isotropy so prevalent in spatial statistics?
(American Mathematical Society, 200703)There are many reasons for the popular use of the isotropic or geometrically anisotropic covariance function and variogram in spatial statistics. A less known reason demonstrated in this paper is that an isotropic or ... 
Zeta function of selfadjoint operators on surfaces of revolution
(IOP Publishing, 20150410)In this article we analyze the zeta function for the Laplace operator on a surface of revolution. A variety of boundary conditions, separated and unseparated, are considered. Formulas for several residues and values of the ... 
Zeta function on surfaces of revolution
(IOP Publishing, 20120831)In this paper we applied the contour integral method for the zeta function associated with a differential operator to the Laplacian on a surface of revolution. Using the WKB expansion, we calculated the residues and values ...