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Fall 2013

Dawson, Andria E

The Earth’s forests are of great economic, ecological, and social importance, and sustaining them is paramount for mitigating climate change. To successfully sus- tain forests we must understand their internal demographic dynamics and their relationship to climate. In this thesis, I developed...

Spring 2014

White, Diana T

In this thesis, we construct a non-local transport model that describes the evolution of microtubules (MTs) as they interact with motor proteins. MTs, whose organization is crucial for normal cellular development, have been found to organize into various patterns in vitro and in vivo through...

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...

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 2018

Chinen, Minako

In this thesis, we explore the relationship between graphical representations of the 1-dimensional N-extended supersymmetry algebra called Adinkras, compact Riemann surfaces, and quivers. An Adinkra is a graph which was originated in physics to study off-shell representations of the supersymmetry...

Spring 2013

Deng, Jian

It has been known that for some physical problems, a small change in the system parameters or in the initial/boundary conditions could leas to a significant change in the system response. Hence, it is of importance to investigate the impact of uncertainty on dynamical system in order to fully...

Spring 2014

Lin, Mu

We discuss non-parametric shape constrained density estimation methods in univariate setting and their applications to the classic Gaussian compound decision problem. The original contribution of the thesis is establishing various important consistency results of the shape constrained density...

Fall 2014

deBoer,Rebecca A

In this thesis a mathematical model of HIV transmission and diagnosis is used to estimate the total size of the HIV-positive population and the HIV incidence from HIV case report data for the Province of Alberta. Worldwide, estimates of the size of the HIV-positive population are used to...

Fall 2013

Kostiuk, Jordan Allan

Heegner points on modular curves play a key role in the solution of Hilbert’s twelfth problem for qua- dratic imaginary fields, as well as the proof of the Birch and Swinnerton-Dyer conjecture for the case ords=1 L(E, s) ≤ 1. The relationship between Heegner points and Hilbert’s twelfth is...

Fall 2015

Chen, Wenjie

We formulate a continuous-time principal-agent model in which the agent performs two tasks: accident prevention and effort exertion. The principal can design a contract for the agent consisting of three components: a lump-sum payment, penalties when accidents occur, and continuous payments...