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Author:

Ma, Yanping

Title:

POPULATION DYNAMICS MODELING OF HETEROTYPIC CELL AGGREGATIONS AND RELATED PARAMETER IDENTIFICATION PROBLEMS

Graduate Program:

Mathematics

Keywords:

Population dynamics
Bayesian framework
inverse problem
cell coagulation
cancer metastasis

File:

Download Ma_Thesis_Final.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Cheng Dong, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Cheng Dong, Committee Chair/Co-Chair
Xiantao Li, Committee Member
John Fricks, Committee Member
Qiang Du; Cheng Dong, Dissertation Advisor/Co-Advisor

Author:

Zhao, Yanxiang

Title:

Phase Field Modeling on Multicomponent Vesicle Adhesion and Fusion

Graduate Program:

Mathematics

Keywords:

phase field model
fusion process
adhesion
prefusion
postfusion

File:

Download Zhao-Dissertation.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Chun Liu, Committee Member
Xiantao Li, Committee Member
Sulin Zhang, Committee Member

Author:

Baran, Matthew Stephen

Title:

A Computational Study of Robustness in Level Set Surface Reconstruction

Graduate Program:

Mathematics

Keywords:

Surface reconstruction
Level set method
Point Cloud
Robustness

File:

Download Baran_Thesis_Final.pdf

Committee Members:

Qiang Du, Thesis Advisor/Co-Advisor

Author:

Pongsriiam, Prapanpong

Title:

The distribution of the divisor function in arithmetic progressions.

Graduate Program:

Mathematics

Keywords:

The divisor function
Arithmetic progressions
Second moment
Distribution

File:

Download Prapanpong_Pongsriiam.pdf

Committee Members:

Robert Charles Vaughan, Dissertation Advisor/Co-Advisor
Wen Ching Winnie Li, Committee Member
Woodrow Dale Brownawell, Committee Member
Jogesh Babu, Committee Member

Author:

Ballif, Serge Chadwick

Title:

Mutually Orthogonal Latin Squares via Polynomials Modulo n

Graduate Program:

Mathematics

Keywords:

orthogonal latin squares
graph coloring
latin square extension problem
transversals

File:

Download Serge-Dissertation.pdf

Committee Members:

Gary Lee Mullen, Dissertation Advisor/Co-Advisor
Gary Lee Mullen, Committee Chair/Co-Chair
James Allen Sellers, Committee Member
Woodrow Dale Brownawell, Committee Member
James Landis Rosenberger, Committee Member

Author:

Koslicki, David Mark

Title:

Substitution Markov chains with applications to molecular evolution

Graduate Program:

Mathematics

Keywords:

Random Substitution
Substitution Markov chain
molecular evolution
topological entropy
topological pressure
symbolic dynamic

File:

Download DavidKoslicki-Dissertation.pdf

Committee Members:

Manfred Heinz Denker, Dissertation Advisor/Co-Advisor
Manfred Heinz Denker, Committee Chair/Co-Chair
Omri Sarig, Committee Member
Yakov B Pesin, Committee Member
Kateryna Dmytrivna Makova, Special Member

Author:

Gilbert, Rebekah Ann

Title:

Analogues of Stanley's Theorem and Elder's Theorem in Odd Partitions and Distinct Partitions

Graduate Program:

Mathematics

Keywords:

Integer Partitions
Odd Partitions
Distinct Partitions
Stanley's Theorem
Elder's Theorem
Nathan Fine
generating function
number of 1's
number of different parts

File:

Download Gilbert_MA_Math_Final.pdf

Committee Members:

George E Andrews, Thesis Advisor/Co-Advisor

Author:

Zhou, Kun

Title:

THE ANALYSIS OF THE PERIDYNAMIC THEORY OF SOLID MECHANICS

Graduate Program:

Mathematics

Keywords:

peridynamics
elasticity
mathematical analysis
numerical analysis
local limit

File:

Download KunZhou-Dissertation.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Ludmil Tomov Zikatanov, Committee Member
Wen Shen, Committee Member
Xiantao Li, Committee Member
Suzanne Michelle Shontz, Committee Member

Author:

Rajan, Girish Kumar

Title:

Surface Gravity Waves Propagating on Water of Finite, Variable Depth.

Graduate Program:

Mathematics

Keywords:

Modified NLS Equation
Variable Depth
Viscous Dissipation
Stability
Asymptotic Analysis
Numerical Analysis

File:

Download 1-Rajan_Thesis_Mathematics.pdf

Committee Members:

Diane Marie Henderson, Thesis Advisor/Co-Advisor

Author:

Chen, Jianyu

Title:

Coexistence of Hyperbolic and Non-hyperbolic Behavior in Smooth Dynamical Systems

Graduate Program:

Mathematics

Keywords:

Dynamical systems
Ergodic theory
Lyapunov exponents

File:

Download Jianyu_Chen-Dissertation.pdf

Committee Members:

Yakov B Pesin, Dissertation Advisor/Co-Advisor
Yakov B Pesin, Committee Chair/Co-Chair
Svetlana Katok, Committee Member
Mark Levi, Committee Member
Mark Strikman, Committee Member