## Search

Now showing items 21-30 of 90

#### 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, ...

#### A Framework for the Meta-Analysis of Survey Data

(2011-12-06)

The research outlined in this thesis covers various different statistical issues relating to meta-analysis of survey data. These issues include the creation of an original comprehensive methodological framework for combining ...

#### Mathematics Problems and Thinking Mathematically in Undergraduate Mathematics

(2015-05-01)

Mathematics is much more than a formal system of procedures and formulae; it is also a way of thinking built on creativity, precision, reasoning, and representation. I present a model for framing the process of doing ...

#### Marginal Models for Modeling Clustered Failure Time Data

(2013-02-01)

Clustered failure time data often arise in biomedical and clinical studies where potential correlation among survival times is
induced in a cluster. In this thesis, we develop a class of marginal models for right censored ...

#### Non-commutative Independences for Pairs of Faces

In non-commutative probability theories, many different notions of independence arise in various contexts. According to the early classification work, there are only five such notions that are universal/natural in the sense ...

#### Moduli Spaces of K3 Surfaces with Large Picard Number

(2011-08-15)

Morrison has constructed a geometric relationship between K3 surfaces with large Picard number and abelian surfaces. In particular, this establishes that the period spaces of certain families of lattice polarized K3 surfaces ...

#### Short-time asymptotics of heat kernels of hypoelliptic Laplacians on Lie groups

(2011-10-11)

This thesis suggests an approach to compute the short-time behaviour of the hypoelliptic heat kernel corresponding to sub-Riemannian structures on unimodular Lie groups of type I, without previously holding a closed form ...

#### Instability of Periodic Orbits of Some Rhombus and Parallelogram Four Body Problems

(2012-11-27)

The rhombus and parallelogram orbits are interesting families of periodic solutions, which come from celestial mechanics and the N-body problem. Variational methods with finite order symmetry group are used to construct ...

#### 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 ...

#### Arithmetic problems around the ABC conjecture and connections with logic

(2014-04-28)

The main theme in this thesis is the ABC conjecture. We prove some partial results towards it and we find new applications of this conjecture, mainly in the context of B\"uchi's n squares problem (which has consequences ...