Search results


Title

A Random Hierarchical Laplacian

Author

Ray, Elijah

Date Created

2013

SubjectsTopical

Mathematics

Description

The Hierarchical Laplacian, proposed in Dyson's theory of onedimensional 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

Branching Processes in Random Trees

Author

Jutmaan, Yanjmaa

Date Created

2012

SubjectsTopical

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

LIMIT THEOREMS FOR ONE CLASS OF ERGODIC MARKOV CHAINS

Author

Turhan, Nezihe

Date Created

2016

SubjectsTopical

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 socalled, Loop Markov Chains. The additive functionals of the Markov chains have t...


Title

LIMIT THEOREMS FOR REACTION DIFFUSION MODELS

Author

Feng, Yaqin

Date Created

2011

SubjectsTopical

Mathematics

Description

We introduce two different reaction diffusion models: evolution of onecell populations in the presence of mitosis and continuous contact model.In the first model we consider the time evolution of the supercritical reaction diffusionequation on t...


Title

Mathematical Analysis of Markov Models for Social Processes

Author

Whitmeyer, Joseph

Date Created

2010

SubjectsTopical

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 1D Schrodinger operator with random sparse potentials

Author

Cook, Thomas

Date Created

2019

SubjectsTopical

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

SubjectsTopical

Mathematics

Description

The paper contains the complete analysis of the GaltonWatson 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

SubjectsTopical

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 2Brownian motion on the spider like quantum graph, th...


Title

Spectral theory of the Schrodinger operator on general graphs

Author

Zheng, Lukun

Date Created

2015

SubjectsTopical

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

SubjectsTopical

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 nonstationary Anderson Parabolic Model with correlated white noise

Author

Chen, Xiaoyun

Date Created

2022

SubjectsTopical

Mathematics

Description

This dissertation contains the analysis of the general lattice nonstationary 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...