eHT Explore

1. Structure of Attractor Region for Natural Extension Map Associated with p-adic Continued Fractions

Open Access

Author:: Zydney, Adam Joseph
Title:: Structure of Attractor Region for Natural Extension Map Associated with p-adic Continued Fractions
Area of Honors:: Mathematics
Keywords:: attractor region
natural extension map
p-adic numbers
analysis
File:: Download zydney-thesis-FINAL.pdf
Thesis Supervisors:: Svetlana Katok, Thesis Supervisor
Svetlana Katok, Thesis Honors Advisor
Misha Guysinsky, Thesis Supervisor
Svetlana Katok, Thesis Supervisor

2. Extending Redheffer's Matrix to Arbitrary Arithmetic Functions

Open Access

Author:: Gillespie, Bryan Rae
Title:: Extending Redheffer's Matrix to Arbitrary Arithmetic Functions
Area of Honors:: Mathematics
Keywords:: Redheffer matrix
Mertens function
Redheffer-type matrix
arithmetic functions
embedding
general linear group
Dirichlet convolution
convolution inversion
sums
eigenvalues
characters
volume
Eulerian polynomials
File:: Download bgillespie-honors-thesis.pdf
Thesis Supervisors:: Robert Charles Vaughan, Thesis Supervisor
Robert Charles Vaughan, Thesis Supervisor
Svetlana Katok, Thesis Honors Advisor

3. ASSESSING THE EFFECTIVENESS OF MULTIPLE CHOICE MATH TESTS

Open Access

Author:: Somers, Elizabeth Anne
Title:: ASSESSING THE EFFECTIVENESS OF MULTIPLE CHOICE MATH TESTS
Area of Honors:: Mathematics
Keywords:: multiple choice exams
data analysis
difficulty
effectiveness
File:: Download Somers_Thesis.pdf
Thesis Supervisors:: Stanley S Smith, Thesis Supervisor
Mark Levi, Thesis Honors Advisor
Stanley S Smith, Thesis Supervisor

4. Using the Finite Element Method for Solving the Schrödinger Equation

Open Access

Author:: Sofo, Ignacio
Title:: Using the Finite Element Method for Solving the Schrödinger Equation
Area of Honors:: Mathematics
Keywords:: Finite Element Method
error analysis
File:: Download Ignacio_SofoHonorsThesis2.pdf
Thesis Supervisors:: Victor Nistor, Thesis Supervisor
Victor Nistor, Thesis Supervisor
Svetlana Katok, Thesis Honors Advisor

5. The Propagation of Shallow-Water Waves

Open Access

Author:: Walsh, Mark Edward
Title:: The Propagation of Shallow-Water Waves
Area of Honors:: Mathematics
Keywords:: shallow-water waves
wave propagation
Korteweg-deVries equation
File:: Download MWalsh_Thesis.pdf
Thesis Supervisors:: Diane Marie Henderson, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Supervisor
Nigel David Higson, Faculty Reader
Dr. Diane Marie Henderson, Thesis Honors Advisor

6. Overlapping Neighborhoods, Local Interaction Model

Open Access

Author:: Levi, Max Richard
Title:: Overlapping Neighborhoods, Local Interaction Model
Area of Honors:: Mathematics
File:: Download TeachMeHowToDougie.pdf
Thesis Supervisors:: Dr. Christopher Byrne, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor
Dr. Christopher Byrne, Thesis Supervisor

7. CASE STUDY OF BEHAVIOR DIFFERENCES BETWEEN DEFINED BENEFIT AND DEFINED CONTRIBUTION PENSION PLANS

Open Access

Author:: Huang, Ying-Hui
Title:: CASE STUDY OF BEHAVIOR DIFFERENCES BETWEEN DEFINED BENEFIT AND DEFINED CONTRIBUTION PENSION PLANS
Area of Honors:: Mathematics
Keywords:: defined benefit
defined contribution
pension
retirement rate
withdrawal rate
File:: Download Ying-Hui_Huang_final.pdf
Thesis Supervisors:: David Arthur Cather, Thesis Supervisor
David Arthur Cather, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor

8. An Examination of the Assignment Scheduling Capability for Unmanned Aerial Vehicles (asc-u) Model

Open Access

Author:: Immendorf, Robert Erik
Title:: An Examination of the Assignment Scheduling Capability for Unmanned Aerial Vehicles (asc-u) Model
Area of Honors:: Mathematics
Keywords:: Army
Mathematics
Linear Programming
Optimization
Operations Research
File:: Download Immendorf_Honors_Thesis-Final-Version.pdf
Thesis Supervisors:: Leonid N Vaserstein, Thesis Supervisor
Luen Chau Li, Thesis Honors Advisor

9. Construction of Cantor Sets

Open Access

Author:: Li, Qiyuan
Title:: Construction of Cantor Sets
Area of Honors:: Mathematics
Keywords:: Cantor set
Hausdorff measure
Kolmogorov complexity
File:: Download thesis.pdf
Thesis Supervisors:: Jan Severin Reimann, Thesis Supervisor
Stephen George Simpson, Thesis Honors Advisor

10. Representation Theory of sl(2,C) and sl(3,C)

Open Access

Author:: Fuller, Samantha Ashlee
Title:: Representation Theory of sl(2,C) and sl(3,C)
Area of Honors:: Mathematics
Keywords:: representation theory
irreducible representations
Lie algebras
File:: Download Thesis.pdf
Thesis Supervisors:: Nigel David Higson, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

11. Analogies in Linear Algebra and Group Theory

Open Access

Author:: Taylor, Benjamin David
Title:: Analogies in Linear Algebra and Group Theory
Area of Honors:: Mathematics
Keywords:: math
linear algebra
group theory
abstract algebra
File:: Download Final_Thesis.pdf
Thesis Supervisors:: Mihran Papikian, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

12. Bernoulli polynomials and riemann zeta function

Open Access

Author:: Shi, Yixuan
Title:: Bernoulli polynomials and riemann zeta function
Area of Honors:: Mathematics
Keywords:: bernoulli polynomial
riemann zeta function
File:: Download Final_draft_of_thesis_for_SHC.pdf
Thesis Supervisors:: Misha Guysinsky, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

13. a model of economic growth driven by competitive innovation

Open Access

Author:: Shen, Sijia
Title:: a model of economic growth driven by competitive innovation
Area of Honors:: Mathematics
Keywords:: economy
math
piazza
periodic orbit
ODE
File:: Download Thesis_FormatReview.pdf
Thesis Supervisors:: Alberto Bressan, Thesis Supervisor
Luen Chau Li, Thesis Honors Advisor

14. Chinese Remainder Theorem

Open Access

Author:: Jin, Cheng
Title:: Chinese Remainder Theorem
Area of Honors:: Mathematics
Keywords:: Chinese Remainder Theorem
Rings
Commutative Algebra
File:: Download ChengJin_CRT_5.0.pdf
Thesis Supervisors:: Dr. Karl Schwede, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

15. medical malpractice insurance and its premium

Open Access

Author:: Yang, Jing
Title:: medical malpractice insurance and its premium
Area of Honors:: Mathematics
Keywords:: malpractice insurance
premium
medical
File:: Download 2-malpractice_insurance.pdf
Thesis Supervisors:: Ron Gebhardtsbauer, Thesis Supervisor
Mark Levi, Thesis Honors Advisor

16. An Optimal Control Problem Arising from an Evolutionary Game

Open Access

Author:: Cai, Wente B
Title:: An Optimal Control Problem Arising from an Evolutionary Game
Area of Honors:: Mathematics
Keywords:: game theory
evolutionary game theory
optimal control
File:: Download Thesis_Edited.pdf
Thesis Supervisors:: Christopher H Griffin, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

17. Stochastic Modeling and Pricing Of Mortality-linked Securities

Open Access

Author:: Li, Boya
Title:: Stochastic Modeling and Pricing Of Mortality-linked Securities
Area of Honors:: Mathematics
Keywords:: stochastic mortality model
the Wang transform
mortality-linked securities
pure mortality bond
maximum likelihood estimation
File:: Download honors_thesis_final_draft-_Boya_Li.pdf
Thesis Supervisors:: Zhongyi Yuan, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor

18. Numerical Methods for Hamiltonian Systems: Theory, Numerics and Case Studies

Open Access

Author:: Zhan, Hongyuan
Title:: Numerical Methods for Hamiltonian Systems: Theory, Numerics and Case Studies
Area of Honors:: Mathematics
Keywords:: numerical methods
Hamiltonian system
File:: Download thesis_hzz5039.pdf
Thesis Supervisors:: Xiantao Li, Thesis Supervisor
Dr. Victoria V Sadovskaya, Thesis Honors Advisor

19. Two Mathematical Models of Inequality in Economics

Open Access

Author:: Battaglia, Emily Louise
Title:: Two Mathematical Models of Inequality in Economics
Area of Honors:: Mathematics
Keywords:: Income Inequality
Solow Model
Agent-based Model
File:: Download Battaglia_Thesis.pdf
Thesis Supervisors:: Christopher H Griffin, Thesis Supervisor
Dr. Victoria V Sadovskaya, Thesis Honors Advisor

20. SPACES OF POLYNOMIALS RELATED TO MULTIPLIER MAPS

Open Access

Author:: Yang, Zhaoning
Title:: SPACES OF POLYNOMIALS RELATED TO MULTIPLIER MAPS
Area of Honors:: Mathematics
Keywords:: polynomial space
dimension
multiplier map
File:: Download ZYang_HonorsThesis.pdf
Thesis Supervisors:: Yuriy G Zarkhin, Thesis Supervisor
Dr. Victoria V Sadovskaya, Thesis Honors Advisor

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

Open Access

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

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

Open Access

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

23. Fock Spaces

Open Access

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

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

Open Access

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

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

Open Access

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

26. Approximate Ramsey Theory

Open Access

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

27. Application of Computational Linear Algebraic methods to a Reliability Simulation

Open Access

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

28. A B-spline Hierarchical Model on HIV Prevalence Data

Open Access

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

29. Problems in Partition Theory

Open Access

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

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

Open Access

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

31. Option Pricing: Study of Generalized Binomial Model

Open Access

Author:: Shi, Hanjie
Title:: Option Pricing: Study of Generalized Binomial Model
Area of Honors:: Mathematics
Keywords:: financial mathematics
option pricing
binomial model
markov chain
Black-Scholes Model
File:: Download thesis.pdf
Thesis Supervisors:: Manfred Heinz Denker, Thesis Supervisor
Luen Chau Li, Thesis Honors Advisor

32. Persistence Of Dynamic Fairness And Altruism In The Ultimatum Game

Open Access

Author:: Easton, Matthew Daniel
Title:: Persistence Of Dynamic Fairness And Altruism In The Ultimatum Game
Area of Honors:: Mathematics
Keywords:: game theory
mathematics
economics
File:: Download EASTON_MATTHEW_THESIS.pdf
Thesis Supervisors:: Andrew Leonard Belmonte, Thesis Supervisor
Aissa Wade, Thesis Honors Advisor

33. Extending First Order Logic to Quantify Over Formulas

Open Access

Author:: Miller, Justin Davis
Title:: Extending First Order Logic to Quantify Over Formulas
Area of Honors:: Mathematics
Keywords:: First Order Logic
Mathematical Logic
Mathematics
Foundations of Mathematics
File:: Download master.pdf
Thesis Supervisors:: Jason Michael Rute, Thesis Supervisor
Anne Kirsten Eisentraeger, Thesis Honors Advisor

34. More Efficient Choices of Linear Bases in Numerical Methods

Open Access

Author:: Gaertner, Carol Lynn
Title:: More Efficient Choices of Linear Bases in Numerical Methods
Area of Honors:: Mathematics
Keywords:: numerical methods
finite element method
differential equations
linear basis
File:: Download Carol_Gaertner_Math_Honors_Thesis.pdf
Thesis Supervisors:: Victor Nistor, Thesis Supervisor
Svetlana Katok, Thesis Honors Advisor

35. Topology and Data Analysis

Open Access

Author:: Zhou, Hangyu
Title:: Topology and Data Analysis
Area of Honors:: Mathematics
Keywords:: hoomology
topological data analysis
persistent homology
algebraic topology
File:: Download Zhou_Hangyu_Topology_and_Data_Analysis.pdf
Thesis Supervisors:: John Roe, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

36. Mathematical Interpretation of the Financial Terms in Interest Models Theory and Practice

Open Access

Author:: Zhu, Mengxue
Title:: Mathematical Interpretation of the Financial Terms in Interest Models Theory and Practice
Area of Honors:: Mathematics
Keywords:: Interest rate model
mathematical interpretation
File:: Download thesis0406.pdf
Thesis Supervisors:: Manfred Heinz Denker, Thesis Supervisor
Luen-Chau Li, Thesis Honors Advisor

37. Variational Generative Models

Open Access

Author:: Liu, Shikun
Title:: Variational Generative Models
Area of Honors:: Mathematics
Keywords:: variational inference
generative model
3D Shape Learning
File:: Download psu_thesis.pdf
Thesis Supervisors:: Clyde Lee Giles, Thesis Supervisor
Sergei Tobachnikov, Thesis Honors Advisor

38. Sphere Eversion: Analysis of a Veridical Paradox

Open Access

Author:: Litman, Matthew Chad
Title:: Sphere Eversion: Analysis of a Veridical Paradox
Area of Honors:: Mathematics
Keywords:: topology
sphere eversion
mathematics
File:: Download M_Litman_Thesis.pdf
Thesis Supervisors:: Sergei Tabachnikov, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

39. A Recursive Presentation of the Graphon Space

Open Access

Author:: Nicodemus, Patrick Blair
Title:: A Recursive Presentation of the Graphon Space
Area of Honors:: Mathematics
Keywords:: graph theory
graphon
descriptive set theory
effective descriptive set theory
graph homomorphisms
effective Polish space
recursive presentation
File:: Download Nicodemus_Patrick_RecursivePresentation.pdf
Thesis Supervisors:: Jan Severin Reimann, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

40. ON CUBIC PARTITIONS AND PARTITIONS CLASSIFIED BY SMALLEST MISSING PART

Open Access

Author:: Shen, Yuefei
Title:: ON CUBIC PARTITIONS AND PARTITIONS CLASSIFIED BY SMALLEST MISSING PART
Area of Honors:: Mathematics
Keywords:: partitions
cubic partitions
combinatorics
File:: Download thesis.pdf
Thesis Supervisors:: George E. Andrews, Thesis Supervisor
Anne Kirsten Eisentraeger, Thesis Honors Advisor

41. Markov Chain Monte Carlo Methods and Applications

Open Access

Author:: Wu, Kaiyi
Title:: Markov Chain Monte Carlo Methods and Applications
Area of Honors:: Mathematics
Keywords:: Markov Chain Monte Carlo
Adaptive method
File:: Download Kaiyi_Wu.pdf
Thesis Supervisors:: Ludmil Tomov Zikatanov, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

42. Graph Observability: Definition, Condition and Algorithm

Open Access

Author:: Xiao, Yifei
Title:: Graph Observability: Definition, Condition and Algorithm
Area of Honors:: Mathematics
Keywords:: graph theory
observability
colored graphs
trackable graphs
graph algorithm
File:: Download Thesis_Yifei_Xiao.pdf
Thesis Supervisors:: Ting He, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

43. A Model of Bank Behavior under Market, Credit, and Liquidity Risk

Open Access

Author:: Slocum, Samuel Thomas
Title:: A Model of Bank Behavior under Market, Credit, and Liquidity Risk
Area of Honors:: Mathematics
Keywords:: Economics
Banking
Numerical Analysis
File:: Download samuelslocum_thesis_vita.pdf
Thesis Supervisors:: Jenny Xiaoe Li, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

44. The Riemann Hypothesis for Elliptic Curves over Finite Fields

Open Access

Author:: Cassady, Connor Dane
Title:: The Riemann Hypothesis for Elliptic Curves over Finite Fields
Area of Honors:: Mathematics
Keywords:: Riemann Hypothesis
Finite Fields
Elliptic Curves
Number Theory
File:: Download Cassady_Connor_RiemHypElipCurves.pdf
Thesis Supervisors:: Mihran Papikian, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

45. Boundary Operators Associated with Conformally Covariant Tri-Laplacian Operator

Open Access

Author:: Luo, Weiyu
Title:: Boundary Operators Associated with Conformally Covariant Tri-Laplacian Operator
Area of Honors:: Mathematics
Keywords:: GJMS operator
Poincaré-Einstein manifold
Boundary operator
conformally covariant operator
fractional Laplacian
Sobolev trace inequality
File:: Download Luo_Weiyu_Boundary_Operator.pdf
Thesis Supervisors:: Jeffrey Steven Case, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

46. Elliptic Curves and Their Integration into an Existing Undergraduate Number Theory Course

Open Access

Author:: Minner, Lauren Jeanette
Title:: Elliptic Curves and Their Integration into an Existing Undergraduate Number Theory Course
Area of Honors:: Mathematics
Keywords:: mathematics
elliptic curves
number theory
finite fields
cryptography
cryptology
File:: Download Minner_Lauren_EllipticCurves.pdf
Thesis Supervisors:: Paul Becker, Thesis Supervisor
Daniel Joseph Galiffa, Thesis Honors Advisor

47. PREDICTIVE EFFECTIVENESS OF ON-DEMAND PRE-EXPOSURE PROPHYLAXIS TO PREVENT HIV

Open Access

Author:: Dorabiala, Olga M
Title:: PREDICTIVE EFFECTIVENESS OF ON-DEMAND PRE-EXPOSURE PROPHYLAXIS TO PREVENT HIV
Area of Honors:: Mathematics
Keywords:: PrEP
HIV
pre-exposure prophylaxis
PK/PD Model
early infection model of HIV
on-demand PrEP
HIV virus dynamics
HIV disease prevention
pharmacokinetic-pharmacodynamic model
mathematical model of HIV
File:: Download master.pdf
Thesis Supervisors:: Dr. Jessica Conway, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor

48. Diophantine Approximation and Complexity Measures

Open Access

Author:: Cotner, Sean Thomas
Title:: Diophantine Approximation and Complexity Measures
Area of Honors:: Mathematics
Keywords:: Diophantine approximation
Kolmogorov complexity
File:: Download Final_thesis.pdf
Thesis Supervisors:: Jan Severin Reimann, Thesis Supervisor
Anne Kirsten Eisentraeger, Thesis Honors Advisor

49. DYNAMICS OF MINIMAL PERMITTED MOTIFS IN COMBINATORIAL THRESHOLD-LINEAR NETWORKS

Open Access

Author:: Falk, David Benjamin
Title:: DYNAMICS OF MINIMAL PERMITTED MOTIFS IN COMBINATORIAL THRESHOLD-LINEAR NETWORKS
Area of Honors:: Mathematics
Keywords:: CTLN
neural network
threshold linear
mathematical modeling
mathematical neuroscience
mathematical biology
minimal permitted motif
nonlinear dynamics
differential equations
graph theory
combinatorics
discrete mathematics
symmetry
neurons
clique union
cyclic union
File:: Download David_Falk_Thesis.pdf
Thesis Supervisors:: Carina Pamela Curto, Thesis Supervisor
Mark Levi, Thesis Honors Advisor

50. Intersection Theory

Open Access

Author:: Keller, Jacob James
Title:: Intersection Theory
Area of Honors:: Mathematics
Keywords:: Algebraic Geometry
Intersection Theory
Enumerative Geometry
File:: Download KellerHThesisFinal.pdf
Thesis Supervisors:: Jack William Huizenga, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor

51. MODEL REDUCTION THROUGH MORI-ZWANZIG FORMALISM

Open Access

Author:: Tian, Zhenyu
Title:: MODEL REDUCTION THROUGH MORI-ZWANZIG FORMALISM
Area of Honors:: Mathematics
Keywords:: Mori-Zwanzig
File:: Download ZhenyuTian_Thesis.pdf
Thesis Supervisors:: John Harlim, Thesis Supervisor
Aissa Wade, Thesis Honors Advisor

52. The Effect of China Hukou System on Internal Migration

Open Access

Author:: He, Dongyang
Title:: The Effect of China Hukou System on Internal Migration
Area of Honors:: Mathematics
Keywords:: hukou
equilibrium model
migration
China
trade
File:: Download Revision4_Dongyang.pdf
Thesis Supervisors:: James R. Tybout, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

53. Wind-Generated Surface Current and Waves at an Air-Water Interface

Open Access

Author:: Prabakaran, Pragnya
Title:: Wind-Generated Surface Current and Waves at an Air-Water Interface
Area of Honors:: Mathematics
Keywords:: wind waves
waves
surface current
interfacial current
base flow
fluid mechanics
File:: Download Pragnya_Prabakaran_Thesis.pdf
Thesis Supervisors:: Dr. Diane Marie Henderson, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

54. Interest Rate Model and Option Pricing

Open Access

Author:: Wang, Xinyu
Title:: Interest Rate Model and Option Pricing
Area of Honors:: Mathematics
Keywords:: Financial Mathematics
Interest Rate Model
Black Scholes Model
Option Pricing
Compuational Finance
File:: Download final_thesis.pdf
Thesis Supervisors:: Anna L Mazzucato, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

55. Analyzing the payoffs of lying in various situations to determine if lying is ever truly beneficial.

Open Access

Author:: Cadenas, Elena
Title:: Analyzing the payoffs of lying in various situations to determine if lying is ever truly beneficial.
Area of Honors:: Mathematics
Keywords:: deception
lying
truthfulness
signal
Prisoner's Dilemma
game theory
beneficial
psychological
neurological
immune function payoff
signaling
factors
payoffdeception
payoff
immune function
File:: Download ElenaCadenasThesis.pdf
Thesis Supervisors:: Dr. Christopher Byrne, Thesis Supervisor
Dr. Victoria V Sadovskaya, Thesis Honors Advisor

56. MARGINAL PRICING: AN EDUCATIONAL MODEL TO PRICE CORRELATED RISKS IN INSURANCE

Open Access

Author:: Callahan, Michael G
Title:: MARGINAL PRICING: AN EDUCATIONAL MODEL TO PRICE CORRELATED RISKS IN INSURANCE
Area of Honors:: Mathematics
Keywords:: actuarial science
mathematics
stochastic
monte carlo
insurance
finance
simulation
pricing model
File:: Download Callahan_Michael_MargPrice.pdf
Thesis Supervisors:: Nan Zhu, Thesis Supervisor
Dennis Keith Pearl, Thesis Honors Advisor

57. Estimating Noisy Histograms with Quality Guarantees

Open Access

Author:: Kerrigan, Gavin
Title:: Estimating Noisy Histograms with Quality Guarantees
Area of Honors:: Mathematics
Keywords:: differential privacy
computer science
histogram estimation
File:: Download Kerrigan_Gavin_NoisyHistograms.pdf
Thesis Supervisors:: Daniel Kifer, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

58. The Shortest Vector Problem in Ideal Lattices

Open Access

Author:: Huynh, Simon
Title:: The Shortest Vector Problem in Ideal Lattices
Area of Honors:: Mathematics
Keywords:: number theory
Cryptology
mathematics
abstract algebra
ideal lattices
cyclic lattices
the Shortest Vector Problem
number fields
number rings
lattices
cryptosystems
quantum computers
RSA
Post-quantum Cryptography
File:: Download huynh_honors_Thesis_the_Shortest_Vector_Problem_in_Ideal_Lattices.pdf
Thesis Supervisors:: Anne Kirsten Eisentraeger, Thesis Supervisor
Mark Levi, Thesis Honors Advisor

59. AN ANALYSIS OF LONGEVITY BASIS RISK IN THE UNITED STATES

Open Access

Author:: Sukunda, Joseph
Title:: AN ANALYSIS OF LONGEVITY BASIS RISK IN THE UNITED STATES
Area of Honors:: Mathematics
Keywords:: Longevity Basis Risk
Longevity Risk
Longevity Risk Transfer
VAR Model
Lee-Carter Model
Pension
Annuity
File:: Download Sukunda_Thesis_Final.pdf
Thesis Supervisors:: Nan Zhu, Thesis Supervisor
Leonid N Vaserstein, Thesis Honors Advisor
Anna L Mazzucato, Faculty Reader

60. Carlitz Cyclotomic Theory over Rational Function Fields

Open Access

Author:: Van Hook, Jacob Arthur
Title:: Carlitz Cyclotomic Theory over Rational Function Fields
Area of Honors:: Mathematics
Keywords:: Carlitz
cyclotomic
function field
File:: Download VanHook_Jacob_Carlitz.pdf
Thesis Supervisors:: Mihran Papikian, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

61. Analyzing How Changes in the Health Status of Healthcare Workers Affects Epidemic Outcomes

Open Access

Author:: Phadke, Ishan
Title:: Analyzing How Changes in the Health Status of Healthcare Workers Affects Epidemic Outcomes
Area of Honors:: Mathematics
Keywords:: quality of care
epidemic model
mathematical modeling
File:: Download Phadke_Sp19_SchreyerThesis-converted.pdf
Thesis Supervisors:: Katriona Shea, Thesis Supervisor
Aissa Wade, Thesis Honors Advisor

62. THE GENETIC AND ENVIRONMENTAL INFLUENCES ON CHILD ANXIETY AND SCHOOL PERFORMANCE

Open Access

Author:: Dewoody, Melissa
Title:: THE GENETIC AND ENVIRONMENTAL INFLUENCES ON CHILD ANXIETY AND SCHOOL PERFORMANCE
Area of Honors:: Mathematics
Keywords:: Mathematics
Psychology
Anxiety
School Performance
File:: Download DeWoody_-Final_Thesis.pdf
Thesis Supervisors:: Jenae Marie Neiderhiser, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor

63. A Fast Diffusion Equation

Open Access

Author:: Baisley, Sarah
Title:: A Fast Diffusion Equation
Area of Honors:: Mathematics
Keywords:: Fast diffusion equation
stereographic projection
Hardy-Littlewood Sobolev Inequality
Gagliardo-Nirenberg-Sobolev Inequality
File:: Download Schreyer_Thesis-6.pdf
Thesis Supervisors:: Jeffrey Steven Case, Thesis Supervisor
Luen-Chau Li, Thesis Honors Advisor

64. GEOSPATIAL-RISK-BASED RECOUPMENT FOR TRIA-ELIGIBLE INSURANCE

Open Access

Author:: Bergerman, Rafael
Title:: GEOSPATIAL-RISK-BASED RECOUPMENT FOR TRIA-ELIGIBLE INSURANCE
Area of Honors:: Mathematics
Keywords:: actuarial
geospatial
terrorism
recoupment
risk
insurance
File:: Download master.pdf
Thesis Supervisors:: Zhongyi Yuan, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

65. Force Dipole Modelling of Bacterial Motility in Various Background Flows, from Isotropic to Anisotropic

Open Access

Author:: Xu, Shunran
Title:: Force Dipole Modelling of Bacterial Motility in Various Background Flows, from Isotropic to Anisotropic
Area of Honors:: Mathematics
Keywords:: Bacterial Motility
Mathematical Biology
MAC scheme
Stokes equations
Living Liquid Crystals
File:: Download Thesis_Final.pdf
Thesis Supervisors:: Leonid V Berlyand, Thesis Supervisor
Mark Levi, Thesis Honors Advisor

66. Symplectic Biliards

Open Access

Author:: Friend, Raymond J
Title:: Symplectic Biliards
Area of Honors:: Mathematics
Keywords:: symplectic
billiards
polygonal
periodicity
dynamical system
dynamics
dynamical systems
File:: Download Friend_Raymond_Thesis.pdf
Thesis Supervisors:: Sergei Tabachnikov, Thesis Supervisor
Prof. Richard Wallace Robinett, Thesis Honors Advisor

67. Fitting a Bayesian Model Based on Markov Chain Monte Carlo

Open Access

Author:: El-Zaatari, Helal Mohamad
Title:: Fitting a Bayesian Model Based on Markov Chain Monte Carlo
Area of Honors:: Mathematics
Keywords:: Statistics
Mathematics
File:: Download finalthesis.pdf
Thesis Supervisors:: Matthew Logan Reimherr, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

68. Helical Symmetry Solutions to the Equations of Magnetohydrodynamics

Open Access

Author:: Thornton, Stephen
Title:: Helical Symmetry Solutions to the Equations of Magnetohydrodynamics
Area of Honors:: Mathematics
Keywords:: Magnetohydrodynamics
MHD
Fluids
PDE
Partial Differential Equations
File:: Download ThorntonFinalMathThesis.pdf
Thesis Supervisors:: Anna L Mazzucato, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor

69. A Comparative Analysis of Convertible Bond Pricing Models

Open Access

Author:: Conway, Colleen Elizabeth
Title:: A Comparative Analysis of Convertible Bond Pricing Models
Area of Honors:: Mathematics
Keywords:: Convertible Bonds
Black-Scholes Equation
Stochastic Calculus
File:: Download Conway_Colleen_Thesis__3_.pdf
Thesis Supervisors:: Jenny Xiaoe Li, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor

70. Feasibility of Universal Healthcare in the United States

Open Access

Author:: Morris, Ashley
Title:: Feasibility of Universal Healthcare in the United States
Area of Honors:: Mathematics
Keywords:: universal healthcare
Medicaid Expansion
mathematical model
uninsured access gap
economic feasibility
File:: Download AshleyMorrisThesis.pdf
Thesis Supervisors:: Joel E Segel, Thesis Supervisor
Dr. Diane Marie Henderson, Thesis Honors Advisor

71. Pricing and hedging for variable annuity

Open Access

Author:: Yuan, Jiaxin
Title:: Pricing and hedging for variable annuity
Area of Honors:: Mathematics
Keywords:: Variable Annuities
Monte Carlo Simulation
Hedging
File:: Download Yuan_Jiaxin_Pricing_and_hedging_for_Variable_Annuity.pdf
Thesis Supervisors:: Matthew Charles Willyard, Thesis Supervisor
Aissa Wade, Thesis Honors Advisor

72. An Efficient Cyclic Projection Algorithm for Quadratic Programming Problems

Open Access

Author:: Sickau, Kristin
Title:: An Efficient Cyclic Projection Algorithm for Quadratic Programming Problems
Area of Honors:: Mathematics
Keywords:: Convex Optimization
Cyclic Projections
Quadratic Programming
Dykstra's Algorithm
Dykstra's Cyclic Projections Method
Variational Inequalities
Obstacle Problems
Best Approximation
File:: Download Sickau_Kristin_Thesis.pdf
Thesis Supervisors:: Ludmil Tomov Zikatanov, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor
Wen Shen, Faculty Reader

73. Speeds of Biological Invasion

Open Access

Author:: Suhendra, Richard
Title:: Speeds of Biological Invasion
Area of Honors:: Mathematics
Keywords:: kpz
invasion
mathematical biology
reaction diffusion
stochastic
File:: Download Speeds_of_Biological_Invasion.pdf
Thesis Supervisors:: Timothy Charles Reluga, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

74. Partition Identities Using Modular Young Diagrams and Congruences Among Fractional Partition Functions

Open Access

Author:: Bevilacqua, Erin
Title:: Partition Identities Using Modular Young Diagrams and Congruences Among Fractional Partition Functions
Area of Honors:: Mathematics
Keywords:: Partitions
combinatorics
number theory
File:: Download ThesisFinal.pdf
Thesis Supervisors:: Ae Ja Yee, Thesis Supervisor
Leonid N Vaserstein, Thesis Honors Advisor

75. Implementing a Commuting Market Access Model to the Washington, DC Metropolitan Area

Open Access

Author:: Gupte, Atharv
Title:: Implementing a Commuting Market Access Model to the Washington, DC Metropolitan Area
Area of Honors:: Mathematics
Keywords:: economics
math
statistics
transportation
geography
schools
education
real estate
residential
commercial
File:: Download Thesis_Atharv_Gupte.pdf
Thesis Supervisors:: Ruilin Zhou, Thesis Supervisor
Mark Levi, Thesis Honors Advisor

76. Survey of Traffic Models and Analysis of a Nonlocal Particle Model

Open Access

Author:: Chien, Jereme
Title:: Survey of Traffic Models and Analysis of a Nonlocal Particle Model
Area of Honors:: Mathematics
Keywords:: Traffic Flow
Follow-the-Leaders
Particle Model
Traveling Waves
Stationary Wave Profiles
Existence and Uniqueness
Stability
Convergence
File:: Download Chien_Thesis.pdf
Thesis Supervisors:: Wen Shen, Thesis Supervisor
Leonid N Vaserstein, Thesis Honors Advisor

77. Kolmogorov Complexity and an Application: Overlapping String Problem

Open Access

Author:: Yang, Chen
Title:: Kolmogorov Complexity and an Application: Overlapping String Problem
Area of Honors:: Mathematics
Keywords:: Algorithmic information theory
Computability Theory
Kolmogorov complexity
File:: Download Honors_Thesis_Chen_Yang_fall2020_final_.pdf
Thesis Supervisors:: Linda Brown Westrick, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor

78. Comparisons between the Monte Carlo method and Finite Difference method for option price and interest rate models

Open Access

Author:: Wu, Jiawei
Title:: Comparisons between the Monte Carlo method and Finite Difference method for option price and interest rate models
Area of Honors:: Mathematics
Keywords:: Numerical Analysis
Financial Mathematics
Partial Differential Equations
File:: Download Wu_Jiawei_Comparisons_between_the_Monte_Carlo_method_and_Finite_Difference_method_for_option_price_and_interest_rate_models.pdf
Thesis Supervisors:: Anna L Mazzucato, Thesis Supervisor
Xiantao Li, Thesis Honors Advisor

79. Encodable Model of Set Theory

Open Access

Author:: Zhong, Qixiao
Title:: Encodable Model of Set Theory
Area of Honors:: Mathematics
Keywords:: Set Theory
Mathematical Logic
Theory of Computation
File:: Download thesis.pdf
Thesis Supervisors:: Jan S Reimann, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

80. A new training method for neural network in solving PDEs

Open Access

Author:: Liang, Fei
Title:: A new training method for neural network in solving PDEs
Area of Honors:: Mathematics
Keywords:: Neural Network
PDE
Deep-Ritz
training method
efficiency
File:: Download A_New_Training_Method_for_Deep_Neural_Network_in_Solving_PDEs.pdf
Thesis Supervisors:: Xiantao Li, Thesis Supervisor
Xiantao Li, Thesis Honors Advisor
Wenrui Hao, Faculty Reader

81. Application of Bayesian Probability Model in the Sports Industry

Open Access

Author:: Kirk, Avery
Title:: Application of Bayesian Probability Model in the Sports Industry
Area of Honors:: Mathematics
Keywords:: Beta-binomial
linear regression
sports betting
odds
moneyline
File:: Download Kirk_Thesis.pdf
Thesis Supervisors:: Jason Ryder Morton, Thesis Supervisor
Leonid N Vaserstein, Thesis Honors Advisor

82. Oscillatory Behaviors of SIRS-like Renewal Equations

Open Access

Author:: Pratt, Madison
Title:: Oscillatory Behaviors of SIRS-like Renewal Equations
Area of Honors:: Mathematics
Keywords:: mathematical modeling
infectious diseases
SIR model
delayed differential equations
File:: Download resub_final_thesis.pdf
Thesis Supervisors:: Timothy Charles Reluga, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

83. Strategy Choice and Performance Analysis of Damping Sequence in Fictitious Play using Evolutionary Games

Open Access

Author:: Zhang, Zhimin
Title:: Strategy Choice and Performance Analysis of Damping Sequence in Fictitious Play using Evolutionary Games
Area of Honors:: Mathematics
Keywords:: Fictitious Play
Damping Sequence
Evolutionary Game
Game Theory
Adaptive Learning
File:: Download Zhimin_Thesis_Final_Submission.pdf
Thesis Supervisors:: Eli Christopher Byrne, Thesis Supervisor
Luen-Chau Li, Thesis Honors Advisor

84. An Examination of Probabilistic Equilibria in the El Farol Bar Game

Open Access

Author:: Perlin, Eitan
Title:: An Examination of Probabilistic Equilibria in the El Farol Bar Game
Area of Honors:: Mathematics
Keywords:: El Farol Bar Game
Game Theory
Nash Equilibrium
File:: Download An_Examination_of_Probabilistic_Equilibria_in_the_El_Farol_Bar_Game_Final.pdf
Thesis Supervisors:: Andrew Leonard Belmonte, Thesis Supervisor
Leonid N Vaserstein, Thesis Honors Advisor

85. The Spin up of a Rotating Fluid in a Tank with Variable Topography

Open Access

Author:: Lu, Yuanhang
Title:: The Spin up of a Rotating Fluid in a Tank with Variable Topography
Area of Honors:: Mathematics
Keywords:: Hydrodynamics
Spin up
Fluid Mechanics
File:: Download ThesisFinal.pdf
Thesis Supervisors:: Diane Marie Henderson, Thesis Supervisor
Timothy Charles Reluga, Faculty Reader
Diane Marie Henderson, Thesis Honors Advisor

86. Finding New Obstructions to Convexity in Neural Codes using Algebra

Open Access

Author:: Lent, Joseph
Title:: Finding New Obstructions to Convexity in Neural Codes using Algebra
Area of Honors:: Mathematics
Keywords:: convex
neural codes
non-local obstructions
File:: Download Final_Thesis_Joseph_Lent.pdf
Thesis Supervisors:: Carina Pamela Curto, Thesis Supervisor
Laura Rotunno, Thesis Honors Advisor
Vladimir Itskov, Faculty Reader

87. A Mathematical Approach to Splitting Two Fried Eggs

Open Access

Author:: Bromberg, David Marvin
Title:: A Mathematical Approach to Splitting Two Fried Eggs
Area of Honors:: Mathematics
Keywords:: Computational Methods
Numerical Analysis
Python
Mathematics
Computer Science
Optimization
Optimal Cut
Geometry
File:: Download Bromberg-David_A_Mathematical_Approach_To_Splitting_Two_Fried_Eggs.pdf
Thesis Supervisors:: Wenrui Hao, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor

88. A Math and Statistics Approach to Go

Open Access

Author:: Ren, Qingze
Title:: A Math and Statistics Approach to Go
Area of Honors:: Mathematics
Keywords:: Go
File:: Download Qingze_Ren_--_A_Math_and_Statistics_Approach_to_Go.pdf
Thesis Supervisors:: Boris V Kalinin, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

89. spectral study of neural networks with ReLU and hat activation functions

Open Access

Author:: Tan, Qinyang
Title:: spectral study of neural networks with ReLU and hat activation functions
Area of Honors:: Mathematics
Keywords:: math
deep learning
finite element methods
ReLU
File:: Download thesis.pdf
Thesis Supervisors:: Qingguo Hong, Thesis Supervisor
Anna L Mazzucato, Thesis Honors Advisor

90. Solving Differential Equations With Deep Neural Networks (DNNs)

Open Access

Author:: Grafton, Jaysa
Title:: Solving Differential Equations With Deep Neural Networks (DNNs)
Area of Honors:: Mathematics
Keywords:: Differential Equations
Deep Neural Networks
DNNs
Machine Learning
ODEs
File:: Download Undergraduate_Thesis_Grafton.pdf
Thesis Supervisors:: Leonid V Berlyand, Thesis Supervisor
Victoria V Sadovskaya, Thesis Honors Advisor

91. Morse–Bott Theory and Diameters of Immersed Submanifolds of Euclidean Space

Open Access

Author:: Ginsburg, Victor
Title:: Morse–Bott Theory and Diameters of Immersed Submanifolds of Euclidean Space
Area of Honors:: Mathematics
Keywords:: Morse theory
Morse–Bott theory
diameters
double normals
File:: Download Morse_Bott_Theory_and_Diameters_of_Immersed_Submanifolds_of_Euclidean_Space.pdf
Thesis Supervisors:: Sergei Tabachnikov, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

92. Solution of Problems in Quadratic Programming Using Dykstra's Algorithm

Open Access

Author:: Jin, Xin
Title:: Solution of Problems in Quadratic Programming Using Dykstra's Algorithm
Area of Honors:: Mathematics
Keywords:: quadratic programming
best approximation
dykstra algorithm
ellipsoid method
File:: Download latex_thesis_template-combined.pdf
Thesis Supervisors:: Ludmil Tomov Zikatanov, Thesis Supervisor
Ludmil Tomov Zikatanov, Thesis Honors Advisor
Xiantao Li, Faculty Reader

93. Odd Grassmannian Permutations Avoiding Patterns of Size Three

Open Access

Author:: Tomasko, Jessica
Title:: Odd Grassmannian Permutations Avoiding Patterns of Size Three
Area of Honors:: Mathematics
Keywords:: Grassmannian
permutations
pattern-avoidance
Dyck paths
odd
File:: Download Tomasko_Thesis_Final.pdf
Thesis Supervisors:: Juan Bautista Gil, Thesis Supervisor
Laura Rotunno, Thesis Honors Advisor

94. Detecting Ischemic Stroke: A Topological Approach

Open Access

Author:: Lou, Chenyu
Title:: Detecting Ischemic Stroke: A Topological Approach
Area of Honors:: Mathematics
Keywords:: Time-series classification
Topological Data Analysis
Gaussian Process Regression
File:: Download Lou_Honors_Thesis_Apr7.pdf
Thesis Supervisors:: Matthew Logan Reimherr, Thesis Supervisor
Luen-Chau Li, Thesis Honors Advisor

95. Zeta Function of Curves Over Finite Field and Its Rationality

Open Access

Author:: Zhang, Yifei
Title:: Zeta Function of Curves Over Finite Field and Its Rationality
Area of Honors:: Mathematics
Keywords:: In this thesis
we are set to explore a zeta function over finite field: an analogy to Riemann zeta function
and prove its rationality with techniques of p-adic numbers.
zeta function
p-adic
finite field
File:: Download Zeta_Function_of_Curves_Over_Finite_Field_and_Its_Rationality.pdf
Thesis Supervisors:: Mihran Papikian, Thesis Supervisor
Nathanial Patrick Brown, Thesis Honors Advisor

96. Solving the Lady in the Lake Problem and Its Fastest Optimal Strategy

Open Access

Author:: Wang, Yancheng
Title:: Solving the Lady in the Lake Problem and Its Fastest Optimal Strategy
Area of Honors:: Mathematics
Keywords:: Differential Game Theory
Lady in the Lake
numerical approximation
File:: Download thesis_final_version.pdf
Thesis Supervisors:: Jessica Maral Conway, Thesis Supervisor
Luen-Chau Li, Thesis Honors Advisor

97. Time Alignment of Biological Data: Numerical Modeling and Stochastic Processes

Open Access

Author:: Lloyd, Owen
Title:: Time Alignment of Biological Data: Numerical Modeling and Stochastic Processes
Area of Honors:: Mathematics
Keywords:: stochastic processes
numerical modeling
single-cell RNA sequencing
pseudotime analysis
trajectory inference
Brownian motion
File:: Download Lloyd_Owen_Thesis.pdf
Thesis Supervisors:: Andrew Belmonte, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

98. A Topological Approach to Selection Rule Stochasticity

Open Access

Author:: Piazza, Jack
Title:: A Topological Approach to Selection Rule Stochasticity
Area of Honors:: Mathematics
Keywords:: logic
computability
topology
randomness
File:: Download Piazza_Jack_SelectionTopology.pdf
Thesis Supervisors:: Jan S Reimann, Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

99. Analysis of the SIR Model on a Network of Nodes

Open Access

Author:: Stepler, Isabelle
Title:: Analysis of the SIR Model on a Network of Nodes
Area of Honors:: Mathematics
Keywords:: SIR
Infectious disease
asymptotic analysis
parameter estimation
File:: Download Schreyer_Honors_Thesis_final.pdf
Thesis Supervisors:: Pierre-Emmanuel Jabin, Thesis Supervisor
Diane Marie Henderson, Thesis Honors Advisor

100. Predicting Volatility of Stocks Using Time Series Models

Restricted (Penn State Only)

Author:: Song, Zitao
Title:: Predicting Volatility of Stocks Using Time Series Models
Area of Honors:: Mathematics
Keywords:: GARCH
Volatility
Time Series
Stock
File:: Login to Download
Thesis Supervisors:: Mauricio Fernandes Nascimento, Jr., Thesis Supervisor
Sergei Tabachnikov, Thesis Honors Advisor

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