Search results | J. Murrey Atkins Library

Title: RANDOMIZED NUMERICAL LINEAR ALGEBRA FOR KERNEL MATRIX COMPRESSION
Author: Maniar, Saumya Kandarp
Date Created: 2020
Subjects--Topical: Mathematics
Description: Matrices are used significantly as a medium to store data in many applications likeData Science, Computer Science, Statistics, and Applied Mathematics. Matrix computationslike matrix multiplication, matrix inversion, eigenvalue decomposition, sing...

Title: Population Dynamics with Immigration
Author: Han, Dan
Date Created: 2019
Subjects--Topical: Mathematics
Description: 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...

Title: Path Integral Methods Using Feynman-Kac Formula and Reflecting Brownian Motions for Neumann and Robin Problems
Author: Zhou, Yijing
Date Created: 2016
Subjects--Topical: Mathematics
Description: In this dissertation, we propose numerical methods for computing the boundary local time of reflecting Brownian motion (RBM) in 3d and its use in the probabilistic representation of the solution of the Laplace equation with the Neumann and Robin b...

Title: Diffusion Processes on Solvable Groups of Upper Triangular 3x3 matrices. Applications in Asian and Basket Options.
Author: Simonsen, Julia
Date Created: 2020
Subjects--Topical: Mathematics
Description: One of the questions in algebraic groups is about the asymptotic behavior of the probability of return of a random walk, which closely related on the growth rate of a group. Upper-triangular matrices form a group. Solvable groups have an exponenti...

Title: Computer Implementation of Symplectic Integrators and Their Applications to the N-Body Problem
Author: Casey, Rory
Date Created: 2020
Subjects--Topical: Mathematics, Astronomy
Description: This research has worked to develop a general computer implementation for symplectic algorithms applied to the N-body problem. A program was written to evolve an arbitrary N-body problem with an arbitrary symplectic integration algorithm so long a...

Title: Goodness-of-Fit Tests Under Permutations
Author: Chen, Chen
Date Created: 2019
Subjects--Topical: Statistics, Mathematics, Information science
Description: 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....

Title: IMAGE CHARGE SOLVATION MODEL (ICSM) FOR SIMULATING BIOMOLECULES AND KCSA ION-CHANNELS
Author: Baker, Katherine
Date Created: 2014
Subjects--Topical: Mathematics
Description: 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...

Title: Generalized semiparametric varying-coefficient models for longitudinal data
Author: Qi, Li
Date Created: 2015
Subjects--Topical: Mathematics, Statistics, Biometry
Description: In this dissertation, we investigate the generalized semiparametric varying-coefficient models for longitudinal data that can flexibly model three types of covariate effects: time-constant effects, time-varying effects, and covariate-varying effec...

Title: HIGH CONFIDENCE SET REGULARIZATION IN SPARSE HIGH DIMENSIONAL LOGISTIC REGRESSION WITH MEASUREMENT ERROR
Author: Rao, Maorong
Date Created: 2019
Subjects--Topical: Mathematics
Description: l1 based regularization such as Lasso and Dantizg Selector succeed in two aspects. First,the inherent sparsity of l1 accords with the underlying nature of high dimensional data; second, the convexity essence paves the way to computational feasibil...

Title: March Madness prediction using quantile regression
Author: Mays, Kimberly
Date Created: 2022
Subjects--Topical: Statistics, Mathematics
Description: The annual NCAA Division I men’s basketball tournament is one of the most prominent sporting events in the United States and the subject of much interest among fans and statisticians alike. In this work, we propose a new method for predicting ther...

Title: Long Concavity of the Power Partition Function
Author: Benfield, Brennan
Date Created: 2020
Subjects--Topical: Mathematics
Description: 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...

Title: Improved Bounds on a Combinatorial Problem
Author: Page, Jacob
Date Created: 2021
Subjects--Topical: Mathematics
Description: In this paper, we will define a function $H:\N \rightarrow \N$, whose output is the size of an optimized hypergraph based upon the restraints given by its input values. This function is known to be well-defined, however its values are unknown for ...

Title: LIMIT THEOREMS FOR RANDOM EXPONENTIAL SUMS AND THEIR APPLICATIONS TO INSURANCE AND THE RANDOM ENERGY MODEL
Author: Erturk, Huseyin
Date Created: 2016
Subjects--Topical: Mathematics, Statistics
Description: In this dissertation, we are mainly concerned with the sum of random exponentials. Here, the random variables are independent and identically distributed. Another distinctive assumption is the number of variables in this sum is a function of the c...

Title: Intermittency for Branching random walks with heavy tails.
Author: Getan, Asmaa
Date Created: 2016
Subjects--Topical: Mathematics
Description: 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...

Title: Limit Cycles in Two Dimensional Systems of Ordinary Differential Equations
Author: Rowe, Ashley
Date Created: 2018
Subjects--Topical: Mathematics
Description: This thesis concerns cycles, i.e., topological ovals, in the phase portraits of systems of first order ordinary differential equationsin the plane, with an emphasis on limit cycles, cycles that are isolated from all other cycles. These are of fund...

Title: ESTIMATES FOR THE NUMBER OF EIGENVALUES OF NON-SELF-ADJOINT OPERATORS
Author: Hulko, Artem
Date Created: 2018
Subjects--Topical: Mathematics
Description: 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...

Title: Estimation of Semivarying Coefficient Models for Counting Processes with Applications
Author: Deng, Liqiu
Date Created: 2019
Subjects--Topical: Mathematics
Description: Recurrent events are very common in many different fields, including biological, medical, engineering and finance. Existing research have developed methodologies to model constant covariate effects and time-dependent covariate effects. However, in...

Title: Average Genus of Oriented Rational Links
Author: Ray, Dawn
Date Created: 2022
Subjects--Topical: Mathematics
Description: The goal of this dissertation is to develop the formulation of the average minimal genus of all reduced alternating rational links with a given crossing number. Work has been done by N. Dunfield to approximate the growth of the genus of knots with...

Title: APPROXIMATING SOLUTIONS OF BOUNDARY VALUE PROBLEMS
Author: Semiyari, Hamid
Date Created: 2015
Subjects--Topical: Mathematics
Description: We present a new algorithm for approximating solutions of two-point boundary value problems and prove theorems that give conditions under which the solution must exist and the algorithm generate approximations that converge to it. We show how to m...

Title: Number Rings and Dedekind Domains
Author: Harrison, Mary
Date Created: 2019
Subjects--Topical: Mathematics
Description: 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...