Browsing Mathematics, Statistics, and Physics by Title
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The system $x^n + y^n = naxy, a>0$
(Wichita State University, 193305) 
Theoretical results in inverse problems for size, solvability, and uniqueness in the pn junction and doping profile of semiconductors
(200605)We present an overview of mathematical models for electrons and holes in semiconductors. We use these to pose some inverse problems for determining the doping profile of a semiconductor. We establish the solvability of ... 
A threedimensional inverse gravimetry problem for ice with snow caps
(American Institute of Mathematical Sciences, 201305)We propose a model for the gravitational field of a floating iceberg D with snow on its top. The inverse problem of interest in geophysics is to find D and snow thickness g on its known (visible) top from remote measurements ... 
Time varying isotropic vector random fields on sphere
(Springer, 201712)For a vector random field that is isotropic and mean square continuous on a sphere and stationary on a temporal domain, this paper derives a general form of its covariance matrix function and provides a series representation ... 
Timevarying isotropic vector random fields on compact twopoint homogeneous spaces
(Springer, 2018)A general form of the covariance matrix function is derived in this paper for a vector random field that is isotropic and mean square continuous on a compact connected twopoint homogeneous space and stationary on a temporal ... 
Torus actions on simply connected 4manifolds
(Wichita State University, 201705)In this paper, we study smooth effective actions of the 2dimensional torus group T 2 ~= SO(2)xSO(2) on simply connected, closed 4dimensional manifolds. Using the conical orbit space of the quotient, a crosssectioning ... 
Torus actions, maximality, and nonnegative curvature
(De Gruyter, 20210903)Let $ℳ_0^n$ be the class of closed, simply connected, nonnegatively curved Riemannian nmanifolds admitting an isometric, effective, isotropymaximal torus action. We prove that if $M \in ℳ_0^n$ then M is equivariantly ... 
Translating vortex pairs with prescribed profiles
(Wichita State University. Graduate School, 20100423)We generate translating vortex pairs with smooth or more arbitrary profiles that reflect modern vortex pairs being generated using prescribed domains of vorticity. Instead of prescribing the domain, we fix the area of the ... 
Two contributions to order restricted inferences
(Wichita State University, 201812)We are proposing two separate problems from order restricted inferences. The rst is a onesided test for stochastic ordering of two distribution functions that protects against false positive conclusions because of model ... 
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 ...