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Skip to Search Results 7Frei, Christoph (Mathematical and Statistical Sciences)
 7Kong, Linglong (Mathematical and Statistical Sciences)
 7Lewis, Mark (Mathematical and Statistical Sciences)
 6Han, Bin (Mathematical and Statistical Sciences)
 6Mizera, Ivan (Mathematical and Statistical Sciences)
 5Hillen, Thomas (Mathematical and Statistical Sciences)

Fall 2015
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
EpsteinBarr 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 posttransplant lymphoproliferative disorder (PTLD). The kinetics of primary EBV infection has...

Spring 2014
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
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
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 BanachMazur distance between an originsymmetric convex body and the $n$dimensional cube which...

Fall 2011
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
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
The KelvinHelmholtz 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...