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Theses/Dissertations from 2017

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Large Deviation Results for Random Walks in a Sparse Random Environment, Kubilay Dagtoros

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Reflection group diagrams for a sequence of Gaussian Lorentzian lattices, Jeremiah Joel Goertz

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Regionally implicit discontinuous Galerkin methods for solving the relativistic Vlasov-Maxwell system, Pierson Guthrey

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Constructions for cospectral graphs for the normalized Laplacian matrix and distance matrix, Kristin Elizabeth Heysse

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Fourier bases on the skewed Sierpinski gasket, Calvin Francis Hotchkiss

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Topics in queueing theory, Keguo Huang

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The modified Crank-Nicolson scheme for the Allen-Cahn equation and mean curvature flow, and the numerical solutions for the stochastic Allen-Cahn equation, Junzhao Hu

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A high-order discontinuous Galerkin finite element method for a quadrature-based moment-closure model, Erica Johnson

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Congruence n-permutable varieties, Jiali Li

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Variants of zero forcing and their applications to the minimum rank problem, Chin-Hung Lin

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Principal rank characteristic sequences, Xavier Martinez-Rivera

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Coloring problems in graph theory, Kevin Moss

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Positivity-preserving finite volume methods for compressible Navier-Stokes equations, Heather Muchowski

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Magnetohydrodynamic flow in closed channels, Monalisa Munsi

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Topics in self-interacting random walks, Steven Ronald Noren

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On minimal support solutions of underdetermined systems of linear equations, Darrin Thomas Rasberry

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Trading cookies with a random walk, Yiyi Sun

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Spider walk in a random environment, Tetiana Takhistova

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Rainbow paths and trees in properly-colored graphs, Isaac Clarence Wass

Theses/Dissertations from 2016

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The edit distance function: Forbidding induced powers of cycles and other questions, Zhanar Berikkyzy

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The dynamical system of iterated Cevian Tribbles, Emily Ann Carroll

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On the Doi-Onsager Model of Rigid Rod-Like Polymers, Tyler Chenhall

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Fourier series for singular measures and the Kaczmarz algorithm, John Edward Herr

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Random and deterministic versions of extremal poset problems, Kirsten Ann Hogenson

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Analysis of a second order discontinuous Galerkin finite element method for the Allen-Cahn equation, Junzhao Hu

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A Hopf-Cole transformation based asymptotic method for kinetic equations with a BGK collision operator in the large scale hyperbolic limit, Nicholas Anthony Payne

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Isomorphism of uniform algebras on the 2-torus, Preechaya Sanyatit

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An implementation of the relativistic hydrodynamic equations in conservative form using Dogpack, Milo Thomas Taylor

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Limit theorems for persistent random walks in cookie environments, Zachary David Voller

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On quantum computation capabilities in an information assurance context, Garrett Ridge Yord

Theses/Dissertations from 2015

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Graph determined symbolic dynamics and hybrid systems, Kimberly Danielle Ayers

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Ordered and partially-ordered variants of Ramsey's theorem, Christopher Orlan Cox

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Positivity in function algebras, Jason Ekstrand

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Skew propagation time, Nicole F. Kingsley

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Asymptotic preserving space-time discontinuous Galerkin methods for a class of relaxation systems, Anna Lischke

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Correctness results for on-line robust principal components analysis, Brian Thomas Lois

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Modeling and controllability of a heat equation with a point mass, José de Jesús Martínez

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The upper triangular algebra loop of degree 4, Michael Mbindyo Munywoki

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Partial geometric designs and difference families, Kathleen Elizabeth Nowak

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A fractional approach to minimum rank and zero forcing, Kevin Francis Palmowski

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On 8p-dimensional Hopf algebras with the Chevalley property, Jolie Dianna Roat

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Estimating the number of covering relations in a formal concept lattice, Aaron Michael Rodriguez

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Mathematical and statistical models in evolutionary game theory, Min Wang

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Asset pricing based on stochastic delay differential equations, Yun Zheng

Theses/Dissertations from 2014

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Second order characteristic based schemes for chemotaxis system, Saleh Albashrawi

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Sign patterns that require eventual exponential nonnegativity, Craig Jeremy Erickson

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On the spectrum of discontinuous Galerkin methods for linear convection-diffusion equations, Diana Hay

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The Frobenius-Schur indicator of Tambara-Yamagami categories, Ryan T. Johnson

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On diamond-free subposets of the Boolean lattice: An application of flag algebras, Lucas Kramer

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Threshold dynamics in hyperbolic partial differential equations, Yongki Lee

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On the nonlinear regime of electrically induced viscous jets with finite conductivity, Saulo Issachar Orizaga

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Numerical superposition of Gaussian beams over propagating domain for high frequency waves and high-order invariant-preserving methods for dispersive waves, Nattapol Ploymaklam

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Positive semidefinite propagation time, Nathan Warnberg

Theses/Dissertations from 2013

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Non-local interactions in spatial evolutionary games, Ozgur Hakan Aydogmus

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On Modified l_1-Minimization Problems in Compressed Sensing, Man Bahadur Basnet

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Commutative, idempotent groupoids and the constraint satisfaction problem, David Michael Failing

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Computation and analysis of evolutionary game dynamics, Yiping Hao

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Statistical summary of protein structures, Yuanyuan Huang

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Cospectral bipartite graphs for the normalized Laplacian, Steven Osborne

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On the edit distance from a cycle- and squared cycle-free graph, Chelsea Peck

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Gaussian beam methods for the Schrӧdinger equation with periodic potentials and strictly hyperbolic systems, Maksym Pryporov

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Random walks in a sparse random environment., Youngsoo Seol

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Mixed boundary value problems for quasilinear elliptic equations, Chunquan Tang

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Haemers' Minimum Rank, Geoff Tims

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Analysis of discrete reaction-diffusion equations for autocatalysis and continuum diffusion equations for transport, Chi-Jen Wang

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Modeling of the interplay between single-file diffusion and conversion reaction in mesoporous systems, Jing Wang

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On entropy satisfying and maximum-principle-satisfying high-order methods for Fokker-Planck equations, Hui Yu

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On random coefficient INAR(1) processes, Zheng Zhong

Theses/Dissertations from 2012

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Sampling and interpolation in Hilbert spaces of entire functions, Sa'ud Shehab Al-Sa'di

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On normal networks, Devin Robert Bickner

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Holder regularity of solutions of generalized p-Laplacian type parabolic equations, Sukjung Hwang

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The Jacobson radical of semicrossed products of the disk algebra, Anchalee Khemphet

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Basis identification through convex optimization, Dominic Donald Kramer

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List-coloring and sum-list-coloring problems on graphs, Michelle Anne Lastrina

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Stochastic homogenization of elliptic equation and optimal control, Zhen Li

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The edit distance function for graphs: an exploration of the case of forbidden induced K2,t and other questions, Tracy Jean McKay

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On highly regular digraphs, Oktay Olmez

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On coarse-grained Normal Mode Analysis and refined Gaussian Network Model for protein structure fluctuations, Jun-Koo Park

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Pseudo-random number generators and an improved steganographic algorithm, Donald Peterson

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Positive semidefinite maximum nullity and zero forcing number, Travis Peters

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Topics in self-interacting random walks, Reza Rastegar

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Induced Saturation Number, Jason James Smith

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Abelian qo-groups and atomic pseudo-valuation domains, Elijah Stines

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The direct discontinuous Galerkin method with symmetric structure for diffusion problems, Chad Nathaniel Vidden

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A formalization of logic in diagonal-free cylindric algebras, Andrew John Ylvisaker

Theses/Dissertations from 2011

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problems in graph theory and probability, Jihyeok Choi

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Coalescence in Bellman-Harris and multi-type branching processes, Jyy-i Joy Hong

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A survey of the use of cellular automata and cellular automata-like models for simulating a population of biological cells, Jeremy D. Knutson

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Novel data clustering methods and applications, Sijia Liu

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Exact boundary controllability and feedback stabilization for a multi-layer Rao-Nakra beam, Ahmet Ozkan Ozer

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Discrete Ornstein-Uhlenbeck process in a stationary dynamic enviroment, Wenjun Qin

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Zero forcing number: Results for computation and comparison with other graph parameters, Darren Daniel Row

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On Vertex Identifying Codes For Infinite Lattices, Brendon Stanton

Theses/Dissertations from 2010

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On Hopf algebras of dimension 4p, Yi-lin Cheng

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On finite-dimensional Hopf algebras and their classifications, Michael John Hilgemann

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A mathematical model for IL6-induced differentiation of neural progenitor cells on a micropatterned polymer substrate, Cory Howk

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High Performance Computing techniques for attacking reduced version of AES using XL and XSL methods, Elizabeth Kleiman

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Homogenization problems in random media, Dimitrios Kontogiannis

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Coloring and extremal problems in combinatorics, Jacob Manske

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An option-theoretic valuation model for residential mortgages with stochastic conditions and discount factors, Fernando Miranda-mendoza