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Author:

Paulson, Elisabeth C

Title:

A Reformulation of the CSSR Algorithm and Application to Optimal Deception Strategy in Two Player Games

Area of Honors:

Mathematics

Keywords:

hidden markov models
probabilistic finite-state machine
deception strategy
game theory

File:

Download merged_document_2.pdf

Thesis Supervisors:

Christopher H Griffin, Thesis Supervisor
Svetlana Katok, Thesis Honors Advisor
Svetlana Katok, Faculty Reader

Author:

Cobern, Sara Catherine

Title:

The q-catalan numbers of Macmahon and a related identity of Andrews

Area of Honors:

Mathematics

Keywords:

q-Catalan numbers
Mathematics
Combinatorics

File:

Download Cobern_Final_Thesis.pdf

Thesis Supervisors:

Ae Ja Yee, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

Author:

Cotner, Nicholas H

Title:

Fock Spaces

Area of Honors:

Mathematics

Keywords:

Fock spaces
quantum field theory
math
tensor products
Hilbert spaces

File:

Download Cotner_fockspace_thesis.pdf

Thesis Supervisors:

Adrian Ocneanu, Thesis Supervisor
Mark Levi, Thesis Honors Advisor

Author:

Antinori, Lilith Zaila

Title:

Toward a graph theoretical model of functional connectivity in chronic developmental traumatic stress disorders

Area of Honors:

Mathematics

Keywords:

traumatic stress
graph theory
functional connectivity
neuroscience

File:

Download Actual_Formatted_Thesis-1-1-edited4.pdf

Thesis Supervisors:

Andrew Leonard Belmonte, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

Author:

Inciardi, Allegra Marie

Title:

Mathematical Modeling Of Influenza At Penn State: a Study Of Incidence Patterns And Effect Of Vaccination

Area of Honors:

Mathematics

Keywords:

influenza
mathematical model
influenza vaccination

File:

Download Inciardi_Thesis.pdf

Thesis Supervisors:

Timothy Charles Reluga, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

Author:

Zhang, Xingyu

Title:

Approximate Ramsey Theory

Area of Honors:

Mathematics

Keywords:

math
Ramsey theory
combinatorics

File:

Download Zhang_Xingyu_approximateramseytheory.pdf

Thesis Supervisors:

Jan Severin Reimann, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

Author:

Henry, Seth Michael

Title:

Application of Computational Linear Algebraic methods to a Reliability Simulation

Area of Honors:

Mathematics

Keywords:

Markov chain
reliability theory
computational methods
Gauss-Seidel
Conjugate Gradient
Successive over-relaxation

File:

Download NewThesis.pdf

Thesis Supervisors:

Christopher H Griffin, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

Author:

Tang, Yuan

Title:

A B-spline Hierarchical Model on HIV Prevalence Data

Area of Honors:

Mathematics

Keywords:

b-spline
hierarchical model
HIV prevalence
mixed model
Bayesian inference
Markov Chain Monte Carlo
sparse and imbalanced data

File:

Download final_thesis_Yuan_Tang.pdf

Thesis Supervisors:

Le Bao, Thesis Supervisor
Luen Chau Li, Thesis Honors Advisor

Author:

Nataraj, Karthik

Title:

Problems in Partition Theory

Area of Honors:

Mathematics

Keywords:

Rogers-Ramanujan
integer partitions
distinct parts

File:

Download Nataraj_Karthik_ProblemsInPartitionTheory.pdf

Thesis Supervisors:

George E. Andrews, Thesis Supervisor
Aissa Wade, Thesis Honors Advisor

Author:

Kellock, Cameron Annetta

Title:

The Effect of Adding Contribution Tiers to Employer-sponsored Health Insurance Plans

Area of Honors:

Mathematics

Keywords:

Vertical Product Differentiation
Game Theory
Patient Protection and Affordable Care Act

File:

Download Cameron_Kellock.pdf

Thesis Supervisors:

Eli Christopher C Byrne, Thesis Supervisor
Eli Christopher C Byrne, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor