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Spring 2018

Bandyopadhyay, Choiti

The concepts of semihypergroups and hypergroups were first introduced by C. Dunkl, I. Jewett and R. Spector independently around the year 1972. Till then, a variety of research has been carried out on different areas of hypergroups. However, no extensive study is found so far on the more general...

Fall 2019

Huang, Qianhong

This thesis focuses on the measure algebra M(S) of a locally compact semitopological semigroup S. In particular, we consider the analog of the group algebra L1(G) of a locally compact group G on S and the topological amenability of S. Among other results which shall be explained further in...

Fall 2009

Zhang, Zhiyong

In this thesis, we study the mathematical modelling of some problems that involve surface effects. These include an optical biosensor, which uses optical principles qualitatively to convert chemical and biochemical concentrations into electrical signals. A typical sensor of this type was...

Fall 2020

Thiessen, Ryan

The kinetic chemotaxis equations have long been used to model biological processes. We will analyze a volume filling variant of the kinetic chemotaxis equations on the torus. Since the kinetic chemotaxis systems have well known blow-up solutions, we spend a considerable amount of time showing...

2007

Shu, Tingting, 1976-

Fall 2013

Samaratunga,Suren

We introduce and study a k-producer problem which is an extension of the monopolist's problem in economic theory. This models a market with several different monopolist's producing complementary goods. We show that the problem of finding an equilibrium in the k-producer problem can be transformed...

Spring 2020

Shuangming Yang

One popular approach to estimating an unknown function from noisy data is the use of a regularized optimization over a reproducing kernel Hilbert space (RKHS). The solution belongs to a nite-dimensional function space. If we assume the additive measurement noise is Gaussian, then there is a well...

Spring 2016

Usman, Iram

The spatial scan statistic (SSS) has been used for the identification of geographical clusters of higher than expected numbers of cases of a condition such as an illness. Disease outbreaks in a geographic area are a typical example. These statistics can also identify geographic areas with longer...

2006

Haines, Christina Anne

Fall 2011

Meng, Ya

Microarrays are biotechnological advancements measuring expressions of thousands of genes in a single assay. A two-group microarray study yields gene expression measurements for patients with a disease of interest and for healthy controls. Our objective is to apply the methods of microarray data...