This dissertation examines properties and representations of several isotropic Gaussian random fields in the unit ball in d-dimensional Euclidean space. First we consider Lévy's Brownian motion. We use an integral representation for the covariance function to find a new expansion for Lévy's Brownian motion as an infinite linear combination of...
Calls continually are made to provide economic assessments of research program achievements and efficiency. Yet little effort has been given to develop an assessment framework that would focus on the research discovery itself, treating the research manager as a producer and the research technology as a knowledge production function. The...
This thesis contains three parts addressing the asymptotic analysis of fluid flow through fully saturated porous medium in the presence of an adjacent thin channel.
In the first part the problem is modeled by Darcy's law in both the porous medium and in the channel. The permeability in the channel...
Topological results are applied to boundary value problems modeling nonlinear
beams and dry friction. A classical continuation theorem is used to prove
existence results for nonlinear beams. Unified proofs, where possible, are given for
all the physically relevant boundary conditions. Integration techniques and various
integral inequalities are used to prove...
X-ray computed tomography is a noninvasive imaging modality capable of reconstructing exact density values of 3D objects. Computed tomography machines are deployed across the world to provide doctors with an image that reveals more detail than a standard x-ray image. We investigate algorithms based on exact computed tomography reconstruction formulas...
In 2001, an extreme drought tightened water supply in the Upper Klamath Basin (basin) while earlier increases in Endangered Species Act (ESA) water requirements for basin fish species that same year elevated demands. The Bureau of Reclamation (Reclamation), which manages irrigation water in parts of the basin located near the...
If P is an integer polynomial denote the degree of P by ∂(P) and let H(P) be the maximum of the absolute value of the coefficients of P. Define Λ(P)=2[superscript ∂(P)]H(P) and for a fixed prime p let C[subscript p] denote the completion of the algebraic closure of the p-adic...