Browsing by Thesis Department "Mathematics (MU)"
Now showing items 41-60 of 178
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Entropy minimization, convergence, and Gibbs ensembles (local and global)
(University of Missouri--Columbia, 2021)We approach the subject of Statistical Mechanics from two different perspectives. In Part I we adopt the approach of Lanford and Martin-Lof. We examine the minimization of information entropy for measures on the phase space ... -
Epsilon multiplicity for graded algebras
(University of Missouri--Columbia, 2020)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] The notion of epsilon multiplicity was originally defined by Ulrich and Validashti as a limsup and they used it to detect integral dependence of ... -
Erdős distance problem in the hyperbolic half-plane
(University of Missouri--Columbia, 2009)The Erd̋os distance problem asks for the minimum number of distinct distances determined by large finite point sets in the plane. The aim of this work is to investigate how the classical techniques employed in the study ... -
Errors in graphical methods
(University of Missouri--Columbia, 1914)The author suggests methods for determining errors in graphical computations and discusses errors in the graphical methods in the infinitesimal calculus. -
The Evans function, the Weyl-Titchmarsh function, and the Birman-Schwinger operators
(University of Missouri--Columbia, 2012)We focus on the spectral stability of travelling wave solutions of partial differential equations. First, we use the Gohberg-Rouche Theorem to prove equality of the algebraic multiplicity of an isolated eigenvalue of an ... -
Existence and construction of real-valued equiangular tight frames
(University of Missouri--Columbia, 2009)This paper presents results on real-valued equiangular tight frames (ETFs) and related topics. Some geometric theorems are developed, and aspects of frame theory are used to gain insight into ETFs. We develop a projection ... -
Expectation of p-norm of random matrices with heavy tails
(University of Missouri--Columbia, 2014)The p-norm (p > 2) of a random matrix whose entries are gaussian, subgaussian and log concave have been studied previously. We conjecture the following generalization of the above results for heavy tailed random matrices: ... -
Explorations of geometric combinatorics in vector spaces over finite fields
(University of Missouri--Columbia, 2008)We study how large a set of points needs to be in a vector space over a finite field in order for the points to determine all of a certain type of geometric structure. In addition we show that there are key differences ... -
Exponential sums, character sums, sieve methods and distribution of prime numbers /
(University of Missouri--Columbia, 2017)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT AUTHOR'S REQUEST.] This thesis is focus on the methods of exponential sums and sieve methods applying to distribution of primes numbers in several forms, such as ... -
An extension of Green's theorem with application
(University of Missouri--Columbia, 2008)The main result of this thesis is a generalization of Green's Theorem. Green' s Theorem states: If Omega is an open subset of R[logical and]2 containing a compact subset K with smooth boundary. Let P and Q be two real ... -
Extension theorems in vector spaces over finite fields
(University of Missouri--Columbia, 2008)We study the L[superscript p] - L[superscript r] boundedness of the extension operator associated with algebraic varieties such as nondegenerate quadratic surfaces, paraboloids, and cones in vector spaces over finite fields. ... -
Finite point configurations and projection theorems in vector spaces over finite fields
(University of Missouri--Columbia, 2010)We study a variety of combinatorial distance and dot product related problems in vector spaces over finite fields. First, we focus on the generation of the Special Linear Group whose elements belong to a finite field with ... -
A foliated Seiberg-Witten theory
(University of Missouri--Columbia, 2016)This dissertation set out to investigate a generalization of Seiberg-Witten theory from four-dimensional manifolds to four-codimensional Riemannian foliations. Seiberg-Witten theory was originally born out of the String ... -
Foundations of geometry
(University of Missouri--Columbia, 1901)Geometry has been called the science of in-direct measurement, and as such is founded on certain definitions, postulates, and some assumptions or axioms which are said to be self-evident. It is a physical science idealized. ... -
Frames and applications : distribution of frame coeficients, integer frames and phase retrieval
(University of Missouri--Columbia, 2015)The present dissertation is divided into two main areas: frame theoretic results and applications of frames. In particular, the beginning half develops the first detailed theory of the distribution of frame coefficients. ... -
Frames and projections
(University of Missouri--Columbia, 2013)In this dissertation we explore several ways in which the concept of projections arise infinite frame theory. In the first chapter we show that the Paulsen problem from frame theory is equivalent to a long standing open ... -
Frames and subspaces
(University of Missouri--Columbia, 2018)This thesis will consist of three parts. In the first part we find the closest probabilistic Parseval frame to a given probabilistic frame in the 2 Wasserstein Distance. It is known that in the traditional [symbol]2 distance ... -
Frames with desired angle properties
(University of Missouri--Columbia, 2020)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] The purpose of this dissertation is to study frames with desired angle properties. More precisely, we study the subspace packing problem, harmonic ... -
A free boundary gas dynamic model as a two-body field theory problem
(University of Missouri--Columbia, 2009)Motivated by the two-body problem in the classical field theories of electrodynamics and gravitation, in which finite propagation speeds lead to radiation reaction and runaway solutions, we develop a free boundary problem ... -
Frobenius closure and prime characteristic singularities
(University of Missouri--Columbia, 2020)[ACCESS RESTRICTED TO THE UNIVERSITY OF MISSOURI AT REQUEST OF AUTHOR.] This dissertation outlines several results about prime characteristic singularities for which the nilpotent part under the induced Frobenius action ...