Search results | J. Murrey Atkins Library

Title: A Random Hierarchical Laplacian
Author: Ray, Elijah
Date Created: 2013
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: 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
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: 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
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: 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
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: 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
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 ONE CLASS OF ERGODIC MARKOV CHAINS
Author: Turhan, Nezihe
Date Created: 2016
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 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
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 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
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: LIMIT THEOREMS FOR REACTION DIFFUSION MODELS
Author: Feng, Yaqin
Date Created: 2011
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: 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
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: 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 Infinite Divisibility and Non Infinite Divisibility of Certain Classes of Random Variables
Author: Stukes, George
Date Created: 2023
Subjects--Topical: Mathematics
Description: In this dissertation we present new results on the classification of limit distributions of random geometric processes. In particular, that develop on the work of Penrose and Wade, who were the first to document the phenomenon of infinite divisibi...

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