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Fall 2016

Salame, Khadime

In this thesis we are interested in fixed point properties of representations of semi-topological semigroups of non-expansive mappings on weak and weak* compact convex sets in Banach or dual spaces. More particularly, we study the following problems : Problem 1 : Let F be any commuting family of...

Fall 2016

Salame, Khadime

In this thesis we are interested in fixed point properties of representations of semi-topological semigroups of non-expansive mappings on weak and weak* compact convex sets in Banach or dual spaces. More particularly, we study the following problems : Problem 1 : Let F be any commuting family of...

Fall 2016

Swan, Amanda C

Gliomas, tumours arising from the glial cells of the nervous system, are some of the most difficult tumours to treat. In particular, glioblastoma are a particularly aggressive glioma subtype carrying a life expectancy of only 14 months. Typically, treatment combines surgery, radiation and...

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...

Spring 2016

Wynne, Anthony A

Flows on normed spaces can be classified using flow equivalences --- maps on the space with the property that the structure of one flow is converted into the structure of another flow. Of particular interest are classifications that arise from flow equivalences that are either homeomorphisms or...

Fall 2016

Wubie, Berhanu A.

Survival data is mostly analyzed using Cox proportional hazards model to identify factors associated with survival time of patients. However recently random survival forest (RSF), a non-parametric method for ensemble estimation constructed by bagging of classification trees for survival data, is...

Spring 2016

Bernard, Benjamin

This thesis treats continuous-time models of repeated interactions with imperfect public monitoring. In such models, players do not directly observe each other's actions and instead see only the impacts of the chosen actions on the distribution of a random signal. Often, there are two reasons why...

Fall 2016

Fedoruk, John P

In an increasingly data-driven society, there is a growing need to simplify high-dimensional data sets. Over the course of the past three decades, the Johnson and Lindenstrauss (JL) lemma has evolved from a highly abstract mathematical result into a useful tool for dealing with data sets of...

Spring 2016

Zhang,Zecheng

A cell centered finite difference scheme for 2D parabolic problems on grids with a local refinement is presented. Peaceman and Rachford directional splitting is used in the discretization of time. The scheme is unconditionally stable and proven to be of second order convergence in time. Numerical...

Fall 2016

Frolova, Nadezda

There is an increasing interest in extreme value analysis for financial and climate data. Various statistical methods have been developed for estimating extreme value dependence in time series data sets and the field continues to grow. In this work we consider four statistical methods for...