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Spring 2021

Budd, Valerie Gayle

Let G be a semi-simple algebraic group over the complex numbers, B a Borel subgroup, and T a maximal torus contained in B. In the first part of this thesis, we examine the singular loci of rationally smooth T-orbit closures X (of some point x) in the flag variety G/B in types A and D. In type A,...

Fall 2011

Moreno-Prieto, Monica Rocio

The probability of a species to be present on a certain site is a quantity of interest for monitoring programs. Data for the occupancy of a species is recorded along with habitat covariates that are suspected to relate with its status (presence/absence). The objective of the analysis is to...

Spring 2012

Rivasplata, Omar D

In this thesis probability estimates on the smallest singular value of random matrices with independent entries are extended to a class of sparse random matrices. We show that one can relax a previously used condition of uniform boundedness of the variances from below. This allows us to consider...

Fall 2015

Tahmasebi, Nazanin

This thesis is dedicated to the study of some geometric properties on Banach spaces associated to hypergroups. This thesis contains three major parts. The purpose of the first part is to initiate a systematic approach to the study of the class of invariant complemented subspaces of L∞(K), and...

Fall 2013

Taschuk, Steven J.

We present some inequalities in convex geometry falling under the broad theme of quantifying complexity, or deviation from particularly pleasant geometric conditions: we give an upper bound for the Banach--Mazur distance between an origin-symmetric convex body and the $n$-dimensional cube which...

Fall 2018

Stephen, Matthew A.

We address several related problems from convex geometry and geometric tomography, which separate along two main themes. The content of this thesis is based on five papers, either published or submitted. The first theme concerns the origin-symmetry and unique determination of convex bodies. A...

Fall 2022

Wang, Xiong

In this dissertation, various problems related to stochastic (partial) differential equations are investigated. These problems include well-posedness, H\"older continuity of the solution, moments of the solution and their asymptotics. This thesis is divided into three parts. The first part...

Spring 2022

Harrington, Peter D

Sea lice are a threat to the health of both wild and farmed salmon and an economic burden for salmon farms. Open-net salmon farms act as reservoirs for sea lice in near coastal areas, which can lead to elevated sea louse levels on wild salmon. With a free living larval stage, sea lice can...

Spring 2012

Lukyanova, Anastasia

Spatial heterogeneity is an important characteristic of large-scale composting, however, only a few spatial models for composting exist to date. In this thesis, a novel spatial model for composting is developed. The model is applicable for any one-, two-, or three-dimensional pile geometry. It...

Fall 2018

Diao, Chenzhe

As a generalization of orthonormal wavelets, tight framelets (also called tight wavelet frames) are of importance in both wavelet analysis and applied sciences due to their many desirable properties in applications. However, tight framelets are often derived from particular refinable functions...