#### Dissertations from 2005

Ensemble equivalence and phase transitions for general models in statistical mechanics and for the Curie -Weiss -Potts model, Marius F Costeniuc

Local-global properties of torsion points on three-dimensional abelian varieties, John Cullinan

Toric ideals and discriminants in codimensions greater than two, Raymond P Curran

Mathematical strategies for the coarse -graining of interacting particle systems, Dimitrios K Tsagkarogiannis

#### Dissertations from 2004

A numerical exploration of the statistical behavior of the discretized nonlinear Schroedinger equation, Adam Eisner

Estimation of the stationary distribution of Markov chains, Gilda Garibotti

Modelling tubuloglomerular feedback in coupled nephrons, Amanda L Hattaway

Study of equilibrium macrostates for two models in statistical mechanics, Peter T Otto

Modulational instabilities of perturbed nonlinear Schroedinger-type equations, Zoi Rapti

Global well posedness for some dispersive partial differential equations, Nikolaos I Tzirakis

#### Dissertations from 2002

The quaternionic Riemann -Roch theorem, Matthew Leonard Auth

Stability of traveling waves for Hamilton -Jacobi equations and mesoscopic modeling for diffusion dynamics, Zhixiong Chen

Construction, transformation, and visualization of Willmore surfaces, Ulrich Heller

Undulating coherent structures in two-dimensional turbulence: A quasi -equilibrium approach, Zhi Liang

#### Dissertations from 2001

Asymptotic Hodge theory and applications, Javier Alejandro Fernandez

Large deviation principles and complete equivalence and nonequivalence results for microcanonical and canonical ensembles with an application to geophysics, Kyle Douglas Haven

Order unit intervals in unigroups, Nathan Rodney Ritter

Signal formulation, segmentation, and lesion volume estimation in magnetic resonance images, Benjamin Reece Stein

Numerical methods for Rayleigh -Benard convection inside a Hele -Shaw cell, Idris Sadulla Stovall

#### Dissertations from 2000

Multi-scale analysis for microscopic models in materials science and cell biology, Alvin Thong-Juak Kho

Constant mean curvature cylinders, Martin Leon Peter Kilian

Modeling natural microimage statistics, Alexey Alexandrovich Koloydenko

Toric geometry and mirror symmetry, Anvar Renatovich Mavlyutov

#### Dissertations from 1999

Stochastic orders and dependence properties of concomitants of order statistics, Todd David Blessinger

Evans function analysis of the stability of periodic travelling wave solutions associated with the Fitzhugh -Nagumo system, Edgardo Gabriel Eszter

Isoperimetric inequalities and concave functions, Alane Susan Ferland

Classification by active testing with applications to imaging and change detection, Chunming Li

Rational minimal surfaces, Catherine McCune

Sign codes from number fields, Maura Ann Murray

The geometry of the Deligne-Hodge decomposition, Gregory James Pearlstein

#### Dissertations from 1998

The mathematics of superfluid films, Christine Petersen Black

Characterizations of pyramids and their generalizations, Catherine Dornback Boucher

Large deviations for doubly indexed stochastic processes with applications to statistical mechanics, Christopher Lawrence Boucher

Independence in the ordinal model and on closed set systems, Richard Alan Cramer-Benjamin

Classification of stable minimal surfaces bounded by Jordan curves in close planes in Euclidean three-space, Rosanna Galotta

Modular Lie algebras and their representations, Dmitriy Rumynin

Nilpotent orbits of mixed Hodge structure, Christine Schwarz

Decision tree algorithms for handwritten digit recognition, Kenneth Joseph Wilder

#### Dissertations from 1997

Computations of equilibrium states in two-dimensional turbulence with conserved vorticity moments, Joseph L Heisler

Galerkin - finite element method for elastic wave equations with interface, Lu Ji

Desingularizing the intersection between a catenoid and a plane, Haiping Luo

#### Dissertations from 1996

Minimal and constant mean curvature surfaces in various three-manifolds, Jan-Olof Jorgen Berglund

Lie isomorphisms of prime rings, Philip Samuel Blau

Degenerating variations of mixed Hodge structures, Eric C. Gaze, Mathematics

Unitary representations of gauge groups, Ruth Stella Huerfano

Modern applications of lattice theory, Scott R Sykes

Dedekind eta function, Kronecker limit formula and Dedekind sum for the Hecke group, Irina Natcheva Vassileva

#### Dissertations from 1994

Stability of travelling waves for a three-component reaction-diffusion system, Patrick David Miller

#### Dissertations from 1993

Bayesian Estimation of Surface Information from Radar Images, Keith David Hartt, Mathematics

#### Dissertations from 1989

Exponential chains and generalized inverses: New approaches to the approximate and exact solution of Markov chain problems, William Randolph Rising

#### Dissertations from 1987

COMPUTATIONAL METHODS FOR NONLINEAR ELLIPTIC EIGENVALUE PROBLEMS, SHIRLEY BARBARA POMERANZ