Browsing by Department "Mathematics and Statistics"
Now showing items 101-120 of 283
Geometric means inequalities and their extensions to Lie groups
(2018-12-05)
This dissertation has two main parts.
1. After reviewing the Riemannian structure of the space of n n positive de nite matrices,
Pn, and the geometric mean in terms of geodesic, t-geometric mean, we present
some ...
Geometry of Zeros and Bernstein Type Inequalities concerning Growth for Polynomials
(2015-12-08)
In this dissertation, we study the problems related to geometry of zeros and Bernstein type inequalities concerning growth for polynomials. The dissertation consists of three chapters followed by list of references used ...
Global existence of classical solutions, spreading speeds, and traveling waves of chemotaxis models with logistic source on R^N
(2018-07-12)
This dissertation is devoted to the study of the classical Keller-Segel chemotaxis systems with space-time heterogeneous logistic source function on $R^N$. Chemotaxis systems are mathematical models describing aggregation ...
Global existence, persistence, spreading speeds, and forced waves in chemotaxis models
(2021-07-29)
Chemotaxis models are widely used to describe the movements of biological species or living organisms in response to certain chemicals in their environments. This dissertation is devoted to the study of various dynamical ...
Gradient Flows, Convexity, and Adjoint Orbits
(2012-06-19)
This dissertation studies some matrix results and gives their Generalizations in the context of semisimple Lie groups. The adjoint orbit is the primary object in our study.
The dissertation consists of four chapters. ...
Gregarious Path Decomposition of Some Graphs
(2011-07-21)
Let G be a simple graph and f(v) a positive integer for each vertex v of G. Form G^f by replacing each v by a set F(v) of f(v) vertices, and each edge uv by complete bipartite
graph on bipartition (F(u); F(v)). Can we ...
Group Lasso for Functional Logistic Regression
(2013-07-11)
Functional datasets are comprised of data that have been sampled discretely over a
continuum, usually time. While the recorded data are discrete, it is assumed that there is a
smooth, underlying curve describing the ...
Hamilton Cycles In Multipartite Graphs With Two Associative Classes
(2019-04-17)
In this dissertation, the following two problems are considered: the embedding problem of when a k-edge-coloring of a multipartite graph G can be embedded into a Hamilton decomposition of multipartite graph H containing ...
Hamilton Decompositions of Graphs with Primitive Complements
(2007-05-15)
A graph G is a pair (V, E) where V is the set of vertices(or nodes) and E is the set of edges connecting the vertices. A graph is called k-regular, if all of its vertices are incident with k edges. A k-factor of a graph G ...
Hamiltonian Decompositions of Complete Multipartite Graphs with Specified Leaves
(2011-05-05)
For any 2-regular spanning subgraph G and H of the complete
multipartite graph
K with p parts each of size m, conditions are found which guarantee the
existence of a 2-factorization of K or of K - I (for some 1-factor ...
Hardy space associated with flag-type singular integrals of three parameters
(2020-07-21)
The main purpose of this thesis is to establish a Hardy space theory associated with the flag-type singular integrals on Euclidean space. This theory is a continuation of those the classical one parameter, product setting ...
High-Dimensional Classification Methods for Sparse Signals and Their Applications in Text and Data Mining
(2014-07-22)
Classification using high-dimensional features arises frequently in many contemporary
statistical studies such as tumor classification using microarray or other high-throughput
data. In this dissertation we conduct a ...
Hopfield Neural Lattice Models
(2020-07-22)
Hopfield neural network model is a continuous deterministic model proposed by John J.
Hopfield in the early 1980’s. The model was proposed in an attempt to produced an artificial
neural network architecture that mimic ...
Hybrid Sampling for Uncertainty Quantification in Systems with High Dimensional Parameter Spaces
(2022-05-01)
Spatial models formulated as partial differential equations, often include space dependent parameters that are not readily estimable and are therefore uncertain.
There are two broad classes of methods for computing ...
I-weight, special base properties and related covering properties
(2005-12-15)
Alleche, Arhangel'ski\u{\i} and Calbrix defined the notion of a sharp base and posed the question: Is there a regular space with a sharp base whose product with [0, 1] does not have a sharp base? Chapter 2 contains an ...
Identifying Heterogeneous Disorders Through Normative Modeling of the Resting State BOLD Signal
(2020-05-21)
One of the recent developments of interest in neuroscience is the detailed study intoresting state data. This data allows us to examine the way our brains behave in an awakestate with no tasks presented. ...
An Implementation of the Finite Element Method for the Velocity-Current Magnetohydrodynamics Equations
(2014-05-15)
The aim of this research is to extend the numerical results in [78] of a velocity-current
magnetohydrodynamics formulation proposed by A.J. Meir and Paul G. Schmidt in [74]
for a stationary flow that models a conductive ...
Improved Imbalanced Classification with CCCD and its Variants
(2024-03-14)
We use a graph based classification method called class cover catch digraphs (CCCDs) to solve class cover problem. CCCD is a random graph model gives graph solution to calss cover problem and shows relatively good performance ...
Improving Parameter Estimation for Integral Projection Models in Fluctuating Environments
(2020-07-21)
The matrix projection model (MPM) is one of the mainstream approaches for population
and environmental dynamics in biological and ecological sciences. MPM is very popular in
modern biological sciences mainly due to its ...
Indecomposable and Chainable Continua
(2009-07-31)
This thesis covers topics in continuum theory related to indecomposable continua and
chainable continua. Theorems are presented to characterize indecomposable continua and
then chainability is explored in its connection ...