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Now showing items 21-30 of 90

#### Topics related to vector bundles on abelian varieties

(2013-06-25)

This thesis is comprised of three logically independent parts. As the title suggests, each part is related to vector bundles on abelian varieties.
We first use Brill-Noether theory to study the geometry of a general ...

#### Feedback Stabilisation of Locally Controllable Systems

(2012-09-25)

Controllability and stabilisability are two fundamental properties of control systems and it is intuitively appealing to conjecture that the former should imply the latter; especially so when the state of a control system ...

#### Networked Control Systems with Unbounded Noise under Information Constraints

(2012-12-06)

We investigate the stabilization of unstable multidimensional partially observed single-station, multi-sensor (single-controller) and multi-controller (single-sensor) linear systems controlled over discrete noiseless ...

#### Embeddings of flag manifolds and cohomological components of modules

(2011-08-23)

This thesis is a study in Representation Theory and Geometry. These two branches of mathematics have a fruitful interaction, with many applications to Physics and other sciences. Central objects of interest are homogeneous ...

#### Variations on Artin's Primitive Root Conjecture

(2011-08-11)

Let $a \in \mathbb{Z}$ be a non-zero integer. Let $p$ be a prime such that $p \nmid a$. Define the index of $a$ modulo $p$, denoted $i_{a}(p)$, to be the integer $i_{a}(p) := [(\mathbb{Z}/p\mathbb{Z})^{\ast}:\langle a ...

#### Real Second-Order Freeness and Fluctuations of Random Matrices

(2011-09-09)

We introduce real second-order freeness in second-order noncommutative probability spaces. We demonstrate that under this definition, independent ensembles of the three real models of random matrices which we consider, ...

#### On Renyi Divergence Measures for Continuous Alphabet Sources

(2011-08-30)

The idea of `probabilistic distances' (also called divergences), which in some sense assess how `close' two probability distributions are from one another, has been widely employed in probability, statistics, information ...

#### Sobolev Gradient Flows and Image Processing

(2010-08-25)

In this thesis we study Sobolev gradient flows for Perona-Malik style energy functionals and generalizations thereof. We begin with first order isotropic flows which are shown to be regularizations of the heat equation. ...

#### Coinfection and the Evolution of Resistance: A Mathematical Analysis

(2011-05-06)

This thesis investigates the effect of coinfection on the emergence of resistant pathogens.
Firstly, a multiple infection model with treatment is derived and the conditions for invasion are established.
The invasion ...

#### Statistical Inference for the Treatment Effect in Cancer Clinical Trials

(2011-05-25)

Randomized clinical trials provide the best evidence on the effect of treatment studied. There are different types of measures on the
treatment effect, depending on the endpoints of the trials. For a given measure, based ...