Search

Fall 2015

Schlaegel, Ulrike E

Movement ecology thrives from a successful synergy of data and models. In a field where experiments are difficult or impossible, linking field data with mathematical and statistical models allows us to test hypotheses and increase our quantitative understanding of movement processes. Owing to...

Fall 2017

Akinwumi, Segun M

Epstein-Barr virus (EBV) is a “kissing disease virus” that has infected more than 95% of the adult human population. It has been associated with diseases such as Acute Infectious Mononucleosis (AIM) and post-transplant lymphoproliferative disorder (PTLD). The kinetics of primary EBV infection has...

Spring 2014

Ye, Zi

We introduce two kinds of particle filters, one is weighted particle filter and the other is resampling particle filter. We prove the Strong Law of Large Numbers and Central Limit Theorem for both particle filters. Then, we show that the resampling particle filter is better than the weighted one.

Fall 2010

Krasin, Vladislav

The current Thesis is devoted to comprehensive studies of comparison, or stochastic domination, theorems. It presents a combination of theoretical research and practical ideas formulated in several specific examples. Previously known results and their place it the theory of stochastic processes...

Fall 2013

Taschuk, Steven J.

We present some inequalities in convex geometry falling under the broad theme of quantifying complexity, or deviation from particularly pleasant geometric conditions: we give an upper bound for the Banach--Mazur distance between an origin-symmetric convex body and the $n$-dimensional cube which...

Fall 2011

Wen, Qianglong

We first find all the irreducible complex characters of the general linear group GL(2, Z/p^l Z) over the ring Z/p^l Z, where l is an integer >1 and p is an odd prime, and determine all the character values. Our methods rely on Clifford Theory and can be modified easily to get all the irreducible...

Fall 2015

Biglands, Adrian J.

The use of ordinary differential equations modelled on networks has become an increasingly important technique in many areas of research. The local behaviour of the system is modelled with differential equations and interactions between members or nodes are described using weighted digraphs....

Fall 2013

Somayaji, Chandana R

The Kelvin-Helmholtz instability is the inertial destabilization of a parallel shear flow in a density stratified fluid under the influence of gravity. For example, this type of instability manifests itself as surface waves in the ocean when wind blows over the water surface. In this thesis we...

Spring 2016

Tikhomirov, Konstantin E

This thesis is based on six papers.

Fall 2010

Cheng, Valerie

In this thesis we examine singularities of surfaces and affine Schubert varieties in the affine Grassmannian $\mathcal{G}/\mathcal{P}$ of type $A^{(1)}$, by considering the action of a particular torus $\widehat{T}$ on $\mathcal{G}/\mathcal{P}$. Let $\Sigma$ be an irreducible...