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Author:

Bang, Seunghoon

Title:

Rarefaction Wave Interaction of Pressure-Gradient System

Graduate Program:

Mathematics

Keywords:

Rarefaction Wave Interaction
Pressure-gradient system
Euler equation
conservation laws
Riemann problem

File:

Download mythesis.pdf

Committee Members:

Yuxi Zheng, Committee Chair/Co-Chair
Alberto Bressan, Committee Member
Victor Nistor, Committee Member
Eric M Mockensturm, Committee Member

Author:

Dave, Shantanu

Title:

Equivariant Noncommutative Residue and an Equivarirant Weyl's Theorem

Graduate Program:

Mathematics

Keywords:

noncommutative geometry
Hochschild and cyclic homology
noncommutative residue
Pseudodifferential operators
Algebras of complete symbols
eigenvalue asymtotics

File:

Download thesis.pdf

Committee Members:

Victor Nistor, Committee Chair/Co-Chair
Paul Frank Baum, Committee Member
Nigel David Higson, Committee Member
John Roe, Committee Member
Jorge Osvaldo Sofo, Committee Member

Author:

Tsao, Shih-chang

Title:

On Explicit Constructions and Improved Bounds of Algebraic Geometric Codes

Graduate Program:

Mathematics

Keywords:

asymptotic bounds
function fields
algebraic geomertric codes
Riemann-Roch spaces

File:

Download thesis.pdf

Committee Members:

Wen Ching Winnie Li, Committee Chair/Co-Chair
Dale Brownawell, Committee Member
John Metzner, Committee Member
Yuri Zarhin, Committee Member

Author:

Fu, Shishuo

Title:

Bijective methods and combinatorial studies of problems in partition theory and related areas

Graduate Program:

Mathematics

Keywords:

Rogers-Ramanujan identities
integer partition
bijective proof
combinatorial analysis

File:

Download PhDThesis_Shishuo_Fu.pdf

Committee Members:

George E Andrews, Dissertation Advisor/Co-Advisor
George E Andrews, Committee Chair/Co-Chair
Ae Ja Yee, Committee Chair/Co-Chair
James Allen Sellers, Committee Member
Donald Richards, Committee Member

Author:

Wang, Tao

Title:

Mathematical Control and Dynamic Blocking Problems

Graduate Program:

Mathematics

Keywords:

optimal control
dynamic blocking problem
calculus of variations
optimality conditions

File:

Download Dissertation_by_Tao_Wang.pdf

Committee Members:

Alberto Bressan, Dissertation Advisor/Co-Advisor
Alberto Bressan, Committee Chair/Co-Chair
Qiang Du, Committee Member
Mark Levi, Committee Member
Constantino Manuel Lagoa, Committee Member
John Roe, Committee Member

Author:

Fisher, Travis Wilson

Title:

Some Results In Hyperbolic Dynamics

Graduate Program:

Mathematics

Keywords:

hyperbolic dynamics
rigidity
Anosov actions

File:

Download fisher-thesis-draft.pdf

Committee Members:

Anatole Katok, Committee Chair/Co-Chair
Yakov B Pesin, Committee Member
Sergei Tabachnikov, Committee Member
Asok Ray, Committee Member

Author:

Li, Tianjiang

Title:

Abstract Principal Component Analysis And Applications To Model Reduction

Graduate Program:

Mathematics

Keywords:

Banach operator algebra
standing and traveling waves
signal decomposition
extraction of transient modes
abstract principal component analysis
data mining

File:

Download Li-Dissertation.pdf

Committee Members:

Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
Anna L Mazzucato, Committee Member
Runze Li, Committee Member

Author:

Otgonbayar, Uuye

Title:

Local Index Theorem In Noncommutative Geometry

Graduate Program:

Mathematics

Keywords:

multiplicative index
spectral triple
local index

File:

Download UuyeOtgonbayar-Dissertation.pdf

Committee Members:

Nigel David Higson, Dissertation Advisor/Co-Advisor
Nigel David Higson, Committee Chair/Co-Chair
John Roe, Committee Member
Nathanial Patrick Brown, Committee Member
John Collins, Committee Member

Author:

Climenhaga, Vaughn

Title:

Thermodynamic formalism and multifractal analysis for general topological dynamical systems

Graduate Program:

Mathematics

Keywords:

dynamical systems
ergodic theory
thermodynamic formalism
multifractal analysis
dimension theory

File:

Download climenhaga-thesis.pdf

Committee Members:

Yakov B Pesin, Dissertation Advisor/Co-Advisor
Yakov B Pesin, Committee Chair/Co-Chair
Omri Sarig, Committee Member
Mark Levi, Committee Member
Mark Strikman, Committee Member

Author:

Luu, Viet-Trung

Title:

A large-scale approach to K-homology

Graduate Program:

Mathematics

Keywords:

coarse geometry
K-homology
K-homology
operator algebras

File:

Download thesis-luu-2005.pdf

Committee Members:

John Roe, Committee Chair/Co-Chair
Paul Frank Baum, Committee Member
Nigel David Higson, Committee Member
Murat Gunaydin, Committee Member