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Now showing items 1-10 of 84

#### Disease, Sex and Evolution

This thesis focuses upon some evolutionary problems related to sexual reproduction and disease. We first consider whether we should expect a fundamental difference between the outcomes of pre- and post-copulatory sexual ...

#### Modelling Pathogen Evolution with Branching Processes

(2010-07-28)

Pathogen evolution poses a significant challenge to public health, as efforts to control the spread of infectious diseases struggle to keep up with a shifting target. To better understand this adaptive process, we turn ...

#### Global Fluctuations of Random Matrices and the Second-Order Cauchy Transform

In this thesis we study the global fluctuations of random matrices (i.e., the covariance of two traces) from a second-order free probability perspective, putting a particular emphasis on block Gaussian matrices. Our main ...

#### A Mathematical Discussion of Corotational Finite Element Modeling

(2011-03-31)

This thesis discusses the mathematics of the Element Independent Corotational (EICR) Method and the more general Unified Small-Strain Corotational Formulation. The former was developed by Rankin, Brogan and Nour-Omid [106]. ...

#### Forecasting and Non-Stationarity of Surgical Demand Time Series

(2014-02-04)

Surgical scheduling is complicated by naturally occurring, and human-induced variability in the demand for surgical services. We used time series methods to detect, model and forecast these behaviors in surgical demand ...

#### Statistical Inferences of Two-Stage Phase II Cancer Clinical Trials with Two Co-primary Endpoints

In cancer research, two-stage designs are usually used to assess the eﬀect of a new
agent in phase II clinical trials. The optimal two-stage designs with two co-primary
endpoints have been proposed to assess the eﬀects ...

#### Modeling and Analysis of Dynamic Computer Experiments

Dynamic computer experiments which refer to computer experiments with
time series outputs have increasingly gained popularity in both
science and engineering. Analysis of dynamic computer experiments
through statistical ...

#### Reinforcement Learning for Decentralized Stochastic Control

We consider decentralized optimization of a controlled stochastic system where a finite number of decision makers seek to arrive at optimal policies using only local measurements and cost realizations. For such a context, ...

#### The two-variable Artin conjecture and elliptic analogues

In 1927, Emil Artin conjectured that for any integer a other than -1 or squares, the set of primes p for which a is a primitive root modulo p has positive density in the set of all primes. This was proven subject to the ...

#### Asymmetric matching allele models: imperfect matching, stability and the impact of mutation

Asymmetric matching alleles models assume that each parasite genotype specializes on a matching host genotype to a different degree. We study system behavior of a single locus di-allelic asymmetric matching alleles model. ...