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Theses from 2012

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Mathematical Models for Interest Rate Dynamics, Xiaoxue Shan

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The new stochastic integral and anticipating stochastic differential equations, Benedykt Szozda

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Operational methods for evolution equations, Lee Gregory Windsperger

Dissertations from 2011

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On Greenberg's question: an algebraic and computational approach, David H. Chapman

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Capturing elements in matroid minors, Deborah Chun

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Paley-Wiener theorems with respect to the spectral parameter, Susanna Dann

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Excluded-minor characterization of apex-outerplanar graphs, Stanislaw Dziobiak

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Symmetric spaces, Se-Jong Kim

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A C0 Interior Penalty Method for the von Kármán Equations, Armin Karl Reiser

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A new theory of stochastic integration, Anuwat Sae-Tang

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Improving math instruction in schools that serve the poor, John, L. Jr. Sims

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Guided modes and resonant transmission in periodic structures, Hairui Tu

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Twisted Frobenius-Schur indicators for Hopf algebras, Maria Vega

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Some classes of graphs that are nearly cycle-free, Lisa Warshauer

Dissertations from 2010

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Hamilton-Jacobi theory for optimal control problems on stratified domains, Richard Charles Barnard

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Subgroups of the Torelli group, Leah R. Childers

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Dimer models for knot polynomials, Moshe Cohen

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Multigrid methods for Maxwell's equations, Jintao Cui

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Perverse poisson sheaves on the nilpotent cone, Jared Lee Culbertson

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Power series expansions for waves in high-contrast plasmonic crystals, Santiago Prado Parentes Fortes

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Koszul duality for multigraded algebras, Fareed Hawwa

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Homogenization of nonlinear partial differential equations, Silvia Jiménez

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Optimal control and nonlinear programming, Qingxia Li

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Correlation of defaults in complex portfolios using copula techniques, Adam Lodygowski

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A characterization of near outer-planar graphs, Tanya Allen Lueder

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Primes of the form X² + nY² in function fields, Piotr Maciak

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Fraction competency and algebra success, Coretta Thomas

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Orthogonal Grassmannians and hermitian K-theory in A¹-homotopy theory of schemes, Girja Shanker Tripathi

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Copula and default correlation, Dongxiang Yan

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Method of Riemann surfaces in modelling of cavitating flow, Anna Zemlyanova

Dissertations from 2009

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The structure of 4-separations in 4-connected matroids, Jeremy M. Aikin

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Impulsive control systems, Wei Cai

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Algorithms related to subgroups of the modular group, Constantin Cristian Caranica

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Function Spaces, Wavelets and Representation Theory, Jens Gerlach Christensen

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Unavoidable minors in graphs and matroids, Carolyn Barlow Chun

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The extended picture group, with applications to line arrangement complements, Charles Richard Egedy

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White noise methods for anticipating stochastic differential equations, Julius Esunge

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Stochastic Navier-Stokes equations with fractional Brownian motions, Liqun Fang

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A regularization technique in dynamic optimization, Alvaro Guevara

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Homological width and Turaev genus, Adam Lowrance

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Some results on cubic graphs, Evan Morgan

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A discrete model of guided modes and anomalous scattering in periodic structures, Natalia Grigoryevna Ptitsyna

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Local behavior of distributions and applications, Jasson Vindas

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The Segal-Bargmann transform on inductive limits of compact symmetric spaces, Keng Wiboonton

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Convolution semigroups, Kevin W. Zito

Dissertations from 2008

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Multiscale analysis of heterogeneous media for local and nonlocal continuum theories, Bacim Alali

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Rational approximation schemes for solutions of abstract Cauchy problems and evolution equations, Patricio Gabriel Jara

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Differential geometry in cartesian closed categories of smooth spaces, Martin Laubinger

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Stochastic and copula models for credit derivatives, Chao Meng

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Laplace Transform Inversion and Time-Discretization Methods for Evolution Equations, Koray Ozer

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Trace Forms of Abelian Extensions of Number Fields, Karli Smith

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Fast Marching Methods - parallel implementation and analysis, Maria Cristina Tugurlan

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Surgery description of colored knots, Steven Daniel Wallace

Dissertations from 2007

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Comparison of KP and BBM-KP models, Gideon Pyelshak Daspan

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Sign Ambiguities of Gaussian Sums, Heon Kim

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Subrepresentation semirings and an analogue of 6j-symbols, Nam Hee Kwon

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Multiplicative renormalization method for orthogonal polynomials, Suat Namli

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Backward stochastic Navier-Stokes equations in two dimensions, Hong Yin

Dissertations from 2006

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Filippov's operator and discontinuous differential equations, Khalid Abdulaziz Alshammari

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Integral cohomology of the Siegel modular variety of degree two and level three, Mustafa Arslan

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Circuits and structure in matroids and graphs, Brian Daniel Beavers

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Extension of Shor's period-finding algorithm to infinite dimensional Hilbert spaces, Jeremy James Becnel

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Using elimination to describe Maxwell curves, Lucas P. Beverlin

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Representation properties of definite lattices in function fields, Jean Edouard Bureau

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Characterization of the dependency across foreign exchange markets using copulas, Ryan Coelho

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Optimal binary trees with height restrictions on left and right branches, Song Ding

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Classifying quadratic number fields up to Arf equivalence, Jeonghun Kim

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On moment conditions for the Girsanov Theorem, See Keong Lee

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Index future pricing under imperfect market and stochastic volatility, Wei-Hsien Li

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Topics in quantum topology, Khaled Moham Qazaqzeh

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An inverse homogenization design method for stress control in composites, Michael Stuebner

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Limit theorems for weighted stochastic systems of interacting particles, Jie Wu

Dissertations from 2005

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Laguerre functions associated to Euclidean Jordan algebras, Michael Aristidou

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Multiscale strain analysis, Timothy Donald Breitzman

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Stability in dynamical polysystems, George Cazacu

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Quasicontinuous derivatives and viscosity functions, Rodica Cazacu

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The asymptotic Z-transform, Scott Jude Champagne

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Zeta functions of finite graphs, Debra Czarneski

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Wavelet sets with and without groups and multiresolution analysis, Mihaela Dobrescu

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Error estimates for stabilized approximation methods for semigroups, Sarah Campbell McAllister

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Stability of stochastic pricing models under volatility fluctuations, Krassimir Zhivkov Nikolov

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Dynamical systems with time delay, Norma Ortiz

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Dissipative Lipschitz dynamics, Vinicio Rafael Rios

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Virtual strings for closed curves with multiple components and filamentations for virtual links, William Schellhorn

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Modern interpretation of Euclid's theory of ratio and proportion, Mark Robert Stecher

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Impulsive systems, Stanislav Zabic

Theses from 2004

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A meta-analysis of randomness in human behavioral research, Summer Ann Armstrong

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Which mean do you mean?: an exposition on means, Mabrouck K. Faradj

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Query of image content using Wavelets and Gibbs-Markov Random Fields, Imtiaz Hossain

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Class groups and norms of units, Costel Ionita

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Orbit structure on the Silov boundary of a tube domain and the Plancherel decomposition of a causally compact symmetric space, with emphasis on the rank one case, Troels Roussau Johansen

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On qualitative properties and convergence of time-discretization methods for semigroups, Mihaly Kovacs

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Asymptotic Laplace transforms, Claudiu Mihai

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The Radon-Gauss transform, Vochita Mihai

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Cox Regression Model, Lindsay Sarah Smith

Theses from 2003

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A parametrization approach for solving the Hamilton-Jacobi-Equation and application to the A2 Toda lattice, Mohammad Dikko Aliyu

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Book embeddings of graphs, Robin Leigh Blankenship

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Gauss' method of least squares: an historically-based introduction, Belinda B. Brand

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A risk-averse strategy for blackjack using fractional dynamic programming, Ryan A. Dutsch

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Stock price modeling and insider trading theory, Jessica J. Guillory