Search results
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Title
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SOLUTION OF A 1-D INVERSE PROBLEM BY THE CONVEXIFICATION METHOD
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Author
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Abney, Ray
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Date Created
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2019
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Subjects--Topical
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Mathematics, Physics
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Description
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In this thesis, we demonstrate a method outlined by Dr. Mikhail Klibanov for solving a 1-D coefficient inverse problem by the convexification method. Our inverse problem in question concerns finding buried bombs, where the dielectric constants of ...
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Title
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IMAGE CHARGE SOLVATION MODEL (ICSM) FOR SIMULATING BIOMOLECULES AND KCSA ION-CHANNELS
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Author
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Baker, Katherine
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Date Created
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2014
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Subjects--Topical
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Mathematics
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Description
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We present an order N method for calculating electrostatic interactions that has been integrated into the molecular dynamics portion of the TINKER Molecular Modeling package. This method, termed the Image-Charge Solvation Model (ICSM), and introdu...
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Title
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Long Concavity of the Power Partition Function
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Author
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Benfield, Brennan
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Date Created
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2020
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Subjects--Topical
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Mathematics
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Description
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The main result of this paper is to prove the log concavity of a particular restricted partition Pk(n) that enumerates the partitions of a positive integer into perfect kth powers. Further investigation utilizing MATHEMATICA software yields numeri...
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Title
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Goodness-of-Fit Tests Under Permutations
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Author
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Chen, Chen
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Date Created
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2019
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Subjects--Topical
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Statistics, Mathematics, Information science
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Description
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Several new goodness-of-fit tests are proposed on countable alphabets, where certain fundamental statistical concepts associated with random variables, such as cumulative distribution functions, characteristic functions and moments, may not exist....
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Title
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On the spectral theory of 1-D Schrodinger operator with random sparse potentials
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Author
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Cook, Thomas
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Date Created
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2019
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Subjects--Topical
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Mathematics
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Description
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The goal of this dissertation is to develop a spectral theory for the Schr\"odinger operator with sparse random potential. To do this, we will first reformulate theories for sparse deterministic potentials. This includes a general development of t...
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Title
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Optimal multiple stopping: theory and applications
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Author
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Crosby, Gary
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Date Created
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2017
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Subjects--Topical
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Mathematics
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Description
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The classical secretary problem was an optimal selection thought experiment for a decision process where candidates with independent and identically distributed values to the observer appear in a random order and the observer must attempt to choos...
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Title
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Numerical models of COVID-19
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Author
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Cung, Benjamin
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Date Created
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2021
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Subjects--Topical
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Mathematics
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Description
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COVID-19 is an ongoing infectious disease where individuals progress through the following four stages: susceptible (S), exposed (E), infected (I), and recovered (R). The standard mathematical model for the spread of such diseases through a large ...
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Title
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Neumann functions and image systems of the Laplacian in the spheroidal geometry
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Author
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Edmiston, Robert
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Date Created
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2019
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Subjects--Topical
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Mathematics
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Description
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We apply the method of image charges from electrostatics to the study of the Neumannfunction for the Laplace operator, equivalent to the Green's function with a Neumannboundary condition imposed. Such an analysis has previously been given for the ...
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Title
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Symmetry and Constraints in Hydrodynamics and Mechanical Locomotion
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Author
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Fairchild, Michael
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Date Created
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2015
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Subjects--Topical
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Mechanical engineering, Robotics, Mathematics
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Description
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This dissertation introduces new models for the locomotion and control of mechanical and hydrodynamic systems that exhibit symmetry, constraints, and control. I introduce the class of unbalanced Chaplygin control systems and analyze the dynamics a...
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Title
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Inequalities in Education: A Closer Focus on School Discipline
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Author
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Furukawa, Taylor
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Date Created
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2023
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Subjects--Topical
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Education, Statistics, Social sciences--Research
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Description
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Disproportionalities in school discipline have become a popular research topic in recent decades, particularly at the school-, district-, and state-level. While there are a handful of reports using nationally representative data, this study provid...
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Title
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Intermittency for Branching random walks with heavy tails.
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Author
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Getan, Asmaa
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Date Created
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2016
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Subjects--Topical
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Mathematics
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Description
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iic 2016Asmaa GetanALL RIGHTS RESERVEDiiiABSTRACT Branching Markov process models populations in which each individual in gener-ation n produces some random number of individuals in the next generation, n + 1, according to a certain probability di...
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Title
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Population Dynamics with Immigration
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Author
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Han, Dan
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Date Created
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2019
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Subjects--Topical
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Mathematics
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Description
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The paper contains the complete analysis of the Galton-Watson models with immigration, including the processes in the random environment, stationary or nonstationary ones. We also study the branching random walk on Zd with immigration and prove th...
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Title
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Number Rings and Dedekind Domains
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Author
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Harrison, Mary
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Date Created
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2019
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Subjects--Topical
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Mathematics
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Description
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In this paper, we study number rings and their factorization properties. We begin with an introduction to number fields and number rings. Then we consider the ring Z[i], which is a unique factorization domain, where each element factors uniquely i...
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Title
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Dynamic Modeling of Incomplete Event History Data
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Author
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Heng, Fei
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Date Created
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2019
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Subjects--Topical
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Statistics
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Description
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Event history analysis has important applications in many fields, such as medicine, engineering, econometrics, actuarial science, and social studies. We usually encounter missing data problems in the modeling of event history data. One typical pro...
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Title
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Interval Estimation for Semiparametric Predictive Regression
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Author
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Hong, Shaoxin
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Date Created
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2018
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Subjects--Topical
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Statistics
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Description
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Predictive regression is an important research topic in financial econometrics. Various estimation methods have been proposed for it, but they suffer from complicated asymptotic limits which depend on whether or not the predicting variable is stat...
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Title
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ESTIMATES FOR THE NUMBER OF EIGENVALUES OF NON-SELF-ADJOINT OPERATORS
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Author
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Hulko, Artem
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Date Created
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2018
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Subjects--Topical
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Mathematics
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Description
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In this dissertation we find estimates for the total number of eigenvalues of non-self-adjoint operators. We consider five different operators, three of them discrete and two continuous. Discrete operators are as follows: Schrödinger operator defi...
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Title
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Cross-Sectional and Time Series Analysis of Crime Rate Across North Carolina
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Author
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Johnson, Isabella
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Date Created
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2022
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Subjects--Topical
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Statistics, Mathematics
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Description
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Unemployment rate reached an astronomical high in 2020 due to the Covid-19 pandemic.The media began reporting on increasing crime rates due to the unemployment rate rising. The Center for Disease Control (CDC) reported that over 81,000 drug overdo...
