Browsing PhD Dissertations - DO NOT EDIT by Title
Now showing items 125-144 of 154
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Qualitative Behavior Of Dynamical Vector Fields
(Mathematics, 2007-09-17)Differential Equations come in two classes, deterministic and stochastic. The first part of this analysis establishes the stable properties of the set of all trajectories converging on a critical point in the real plane ... -
Quantized Enveloping Superalgebra of Type P
(2022-05-09)We introduce a new quantized enveloping superalgebra $\mathfrak{U}_q\mathfrak{p}_n$ attached to the Lie superalgebra $\mathfrak{p}_n$ of type P. The superalgebra $\mathfrak{U}_q\mathfrak{p}_n$ is a quantization of a Lie ... -
Regular Algebras Related To Regular Graded Skew Clifford Algebras Of Low Global Dimension
(Mathematics, 2011-10-11)M. Artin, W. Schelter, J. Tate, and M. Van den Bergh introduced the notion of non-commutative regular algebras, and classified regular algebras of global dimension 3 on degree-one generators by using geometry (i.e., point ... -
Representation Theory Of Totally Reflexive Modules Over non-Gorenstein Rings
(Mathematics, 2014-09-17)In the late 1960's Auslander and Bridger published Stable Module Theory, in whichthe idea of totally reflexive modules first appeared. These modules have been studiedby many. However, a bulk of the information known about ... -
Representations of the Extended Poincare Superalgebras in Four Dimensions
(2016-05-13)Eugene Wigner used the Poincare group to induce representations from the fundamental internal space-time symmetries of (special) relativistic quantum particles. Wigner’s students spent considerable amount of time translating ... -
Reproductive Numbers for Periodic Epidemic Systems
(2016-08-09)When using mathematics to study epidemics, often times the goal is to deter- mine when an infection can invade and persist within a population. This can be done in a variety of ways but the most common is to use threshold ... -
Resolutions And Tor Algebra Structures For Trivariate Monomial Ideals
(Mathematics, 2012-07-25)In this manuscript we explore properties of minimal free resolutions and their relationship to the Tor-algebra structure for trivariate monomial ideals. We begin with an in-depth analysis of minimal free resolutions of ... -
Scattering and Inverse Scattering on the Line for a First-Order System with Energy-Dependent Potentials
(University of Texas at Arlington, 2018-05)A first-order system of two linear ordinary differential equations is analyzed. The linear system contains a spectral parameter, and it has two coefficients that are functions of the spatial variable 𝑥. Those two functions ... -
Simple Weight Modules of the Lie Algebra of Vector Fields of C2
(2017-08-14)Classification of the weight modules of the Lie algebra Wn of vector fields on C n has been a long-standing problem in the area of representation theory. In this thesis, a classification of all simple weight modules of W2 ... -
Smooth Quantile Processes For Right Censored Data
(Mathematics, 2013-07-22)The development of an estimator of a quantile function Q(p) is discussed. The smooth nonparametric estimator Qn(p) of a quantile function Q(p) is defined as the solution to Fn(Qn(p)) = p, where Fn is a smooth Kaplan-Meier ... -
Some Multivariate Process Capability Indices
Process capability indices (PCIs) play an important role in the field of Statistical Process Control. Prior to the last 25 years, PCIs had been formulated to assess the quality of a single product characteristic. Product ... -
Some Problems Of Integral Geometry In Advanced Imaging
(Mathematics, 2011-07-14)During the past decade, our society has become dependent on advanced mathematics for many of our daily needs. Mathematics is at the heart of the 21st century technologies and more specifically the emerging imaging technologies ... -
SOME QUADRATIC QUANTUM P³s WITH A LINEAR ONE-DIMENSIONAL LINE SCHEME
(2021-05-20)It is believed that quadratic Artin-Shelter regular (AS-regular) algebras of global dimension four (sometimes called quadratic quantum P3s can be classified using a geometry similar to that developed in the 1980’s by ... -
Some Quadratic Regular Algebras on Four Generators Wtih A 1-Dimensional Nonreduced Line Scheme
(2019-12-19)In the 1980s, M. Artin, J. Tate, and M. Van den Bergh applied geometric techniques to noncommutative algebras. Their work introduced algebraic concepts called point modules and line modules and an associated geometric ... -
STABILITY STUDY ON SHEAR FLOW AND VORTICES IN LATE BOUNDARY LAYER TRANSITION
(2017-08-09)Turbulence is still an unsolved scientific problem, it has been regarded as “the most important unsolved problem of classical physics”. Dr. Liu proposed a new mechanism about turbulence generation and sustenance after ... -
STATISTICAL ESTIMATION IN MULTIVARIATE NORMAL DISTRIBUTION WITH A BLOCK OF MISSING OBSERVATIONS
(2017-10-16)Missing observations occur quite often in data analysis. We study a random sample from a multivariate normal distribution with a block of missing observations, here the observations missing is not at random. We use maximum ... -
Stochastic Reliability Models for a General Server and Related Networks
(2016-04-22)There are many types of systems which can be dubbed servers, i.e. a retail checkout counter, a shipping company, a web server, or a customer service hotline. All of these systems have common general behavior: requests or ... -
STOCHASTIC RISK MEASURES FOR THE LUNDBERG MODEL WITH REINSURANCE AND INVESTMENT
(2020-11-24)Risk measures emerge in fields such as economics, insurance, finance and are concerned with a stochastic representation of uncertainties stemming from the unpredictability of the real world events. In essence, risk analysis ... -
Study Of Multiple Impacts Of A Rigid Body With A Flat Surface
(Mathematics, 2008-08-08)Both analytical and numerical results are presented for two rigid body problems: a rod colliding with the ground, and a rigid thin plate colliding with the ground. The study of the succession of impacts of the rod with the ... -
A Study On The B Family Of Shallow Water Wave Equations
(Mathematics, 2009-09-16)In this dissertation we study b family of shallow water wave equations which include classical Korteweg-de Vries, Camassa-Holm and Degasperis-Procesi equations. We first establish the models of the Camassa-Holm and ...