Search results | J. Murrey Atkins Library

Title: A Random Hierarchical Laplacian
Author: Ray, Elijah
Date Created: 2013
Subjects--Topical: Mathematics
Description: The Hierarchical Laplacian, proposed in Dyson's theory of one-dimensional ferromagnetic phase transitions, has a discrete spectrum with each isolated eigenvalue having infinite multiplicity. As a result, the integrated density of states is piecewi...

Title: ASYMPTOTIC ANALYSIS OF THE ANDERSON PARABOLIC PROBLEM AND THE MOSER'S TYPE OPTIMAL STOPPING PROBLEM
Author: ZHANG, HAO
Date Created: 2011
Subjects--Topical: Mathematics
Description: The central objects of the thesis are the Anderson parabolic problem and the Moser's type optimal stopping problem:(1) In the lattice parabolic Anderson problem, we study the quenched and annealed asymptotics for the solutions of the lattice parab...

Title: Branching Processes in Random Trees
Author: Jutmaan, Yanjmaa
Date Created: 2012
Subjects--Topical: Mathematics
Description: We study the behavior of branching process in a random environment on trees in the critical, subcritical and supercritical case. We are interested in the case when both the branching and the step transition parameters are random quantities. We pre...

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: LIMIT THEOREMS FOR ONE CLASS OF ERGODIC MARKOV CHAINS
Author: Turhan, Nezihe
Date Created: 2016
Subjects--Topical: Statistics, Mathematics
Description: The goal of this dissertation is to develop some classical limit theorems for the additive functionals of the homogeneous Markov chains in the special class of the so-called, Loop Markov Chains. The additive functionals of the Markov chains have t...

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: LIMIT THEOREMS FOR REACTION DIFFUSION MODELS
Author: Feng, Yaqin
Date Created: 2011
Subjects--Topical: Mathematics
Description: We introduce two different reaction diffusion models: evolution of one-cell populations in the presence of mitosis and continuous contact model.In the first model we consider the time evolution of the supercritical reaction diffusion-equation on t...

Title: Mathematical Analysis of Markov Models for Social Processes
Author: Whitmeyer, Joseph
Date Created: 2010
Subjects--Topical: Mathematics
Description: We present Markov models for two social processes: the spread of rumors and the change in the spatial distribution of a population over time. For the spread of rumors, we present two models. The first is for the situation in which all particles ar...

Title: On the spectral theory of 1-D Schrodinger operator with random sparse potentials
Author: Cook, Thomas
Date Created: 2019
Subjects--Topical: Mathematics
Description: 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...

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: Spectral Theory of Schrödinger Type Operator on Spider Type Quantum Graphs
Author: Paul, Madhumita
Date Created: 2023
Subjects--Topical: Mathematics
Description: The dissertation consists of chapter 1: Introduction, this chapter contains some definitions and examples of quantum graphs, symplectic analysis and its representation on spider graph. Chapter 2-Brownian motion on the spider like quantum graph, th...

Title: Spectral theory of the Schrodinger operator on general graphs
Author: Zheng, Lukun
Date Created: 2015
Subjects--Topical: Mathematics, Physics
Description: The goal of this dissertation is to give the sufficient conditions for the absence of a.c.spectrum or existence of the pure point (p.p.) spectrum for the deterministic or random Schrodinger operators on the general graphs. For the particular situa...

Title: The Study of Loop Markov Chains
Author: Gillespie Jr., Perry
Date Created: 2011
Subjects--Topical: Mathematics, Statistics
Description: The purpose of my research is the study of Loop Markov Chains. This model contains several loops, which could be connected at several different points. The focal point of this thesis will be when these loops are connected at one single point. Insi...

Title: The general non-stationary Anderson Parabolic Model with correlated white noise
Author: Chen, Xiaoyun
Date Created: 2022
Subjects--Topical: Mathematics
Description: This dissertation contains the analysis of the general lattice non-stationary Anderson parabolic model with correlated white noise. It starts form the brief description of known results about parabolic problem with local Laplacian and the detailed...