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Author:

Mummert, Anna Beckhorn

Title:

Thermodynamic Formalism for Nonuniformly Hyperbolic Dynamical Systems

Graduate Program:

Mathematics

Keywords:

dynamical systems
thermodynamic formalism
smooth ergodic theory
nonuniform hyperbolicity

File:

Download thesis.pdf

Committee Members:

Yakov B Pesin, Committee Chair/Co-Chair
Piotr Berman, Committee Member
Svetlana Katok, Committee Member
Mark Levi, Committee Member
Arkady Tempelman, Committee Member
Howard Weiss, Committee Member

Author:

Egorov, Arseni

Title:

Symbolic Dynamics of the Weyl Chamber Flow

Graduate Program:

Mathematics

Keywords:

topological Markov chains
geodesic flow
Weyl chamber flow
geometric coding
arithmetic coding
symmetric spaces
continued fractions

File:

Download Dissertation.pdf

Committee Members:

Svetlana Katok, Dissertation Advisor/Co-Advisor
Svetlana Katok, Committee Chair/Co-Chair
Anatole Katok, Committee Member
Federico Rodriguez Hertz, Committee Member
Gutti Jogesh Babu, Committee Member

Author:

Talitskaya, Anna

Title:

Partially hyperbolic phenomena in dynamical systems with descrete and continuous time.

Graduate Program:

Mathematics

Keywords:

ergodic theory
dynamical systems
hyperbolicity
flows

File:

Download Thesis.pdf

Committee Members:

Yakov B Pesin, Committee Member
Anatole Katok, Committee Member
Omri Sarig, Committee Member
Pyotr Berman, Committee Member

Author:

Gogolyev, Andriy

Title:

Smooth conjugacy in hyperbolic dynamics

Graduate Program:

Mathematics

Keywords:

Anosov diffeomorphism
structural stability
smooth conjugacy
periodic data

File:

Download AndriyGogolyev-Dissertation.pdf

Committee Members:

Anatole Katok, Dissertation Advisor/Co-Advisor
Anatole Katok, Committee Chair/Co-Chair
Omri Sarig, Committee Member
Vadim Kaloshin, Committee Member
Alexay Kozhevnikov, Committee Member

Author:

He, Andong

Title:

Conformal mapping and variational methods for interfacial dynamics in fluids

Graduate Program:

Mathematics

Keywords:

interfacial dynamics
fluid dynamics
conformal mapping

File:

Download Andong_He_Dissertation.pdf

Committee Members:

Mark Levi, Dissertation Advisor/Co-Advisor
Andrew Leonard Belmonte, Committee Chair/Co-Chair
Mark Levi, Committee Chair/Co-Chair
Qiang Du, Committee Member
Diane Marie Henderson, Committee Member
Tong Qiu, Committee Member

Author:

Weaver, Bryce A.

Title:

Growth Rate of Periodic orbits for Geodesic Flows on Surfaces with Regions of Positive Curvature

Graduate Program:

Mathematics

Keywords:

non-uniformly hyperbolic
growth of periodic orbits
dynamical systems
geodesic flows
positive curvature
Margulis measure

File:

Download bryceweaverdissertation.pdf

Committee Members:

Anatole Katok, Committee Chair/Co-Chair
Yakov B Pesin, Committee Member
Omri Sarig, Committee Member
David Gerard Abler, Committee Member

Author:

Haines, Brian Michael

Title:

Effective Viscosity of Dilute Bacterial Suspensions

Graduate Program:

Mathematics

Keywords:

rheology
effective viscosity
bacterial suspensions

File:

Download bmh_thesis.pdf

Committee Members:

Leonid Berlyand, Dissertation Advisor/Co-Advisor
Leonid Berlyand, Committee Chair/Co-Chair
Alberto Bressan, Committee Member
Helge Kristian Jenssen, Committee Member
Anna L Mazzucato, Committee Member
Jayanth R Banavar, Committee Member

Author:

Zheng, Bin

Title:

Finite Element Approximations of High Order Partial Differential Equations

Graduate Program:

Mathematics

Keywords:

finite element methods
high order partial differential equations
magnetohydrodynamics

File:

Download mythesis.pdf

Committee Members:

Jinchao Xu, Committee Chair/Co-Chair
Chun Liu, Committee Member
Eric M Mockensturm, Committee Member
Victor Nistor, Committee Member
Ludmil Tomov Zikatanov, Committee Member

Author:

Saunders, Christopher L.

Title:

FLOER HOMOLOGY FOR ALMOST HAMILTONIAN ISOTOPIES

Graduate Program:

Mathematics

Keywords:

symplectic geometry
Seidel representation
Floer homology

File:

Download final_thesis.pdf

Committee Members:

Augustin Banyaga, Committee Chair/Co-Chair
Ping Xu, Committee Member
Sergei Tabachnikov, Committee Member
Abhay Vasant Ashtekar, Committee Member
Nigel David Higson, Committee Member

Author:

Mummert, Carl

Title:

On the Reverse Mathematics of General Topology

Graduate Program:

Mathematics

Keywords:

Reverse Mathematics
poset space
general topology
second-order arithmetic

File:

Download thesis.pdf

Committee Members:

Stephen George Simpson, Committee Chair/Co-Chair
John D Clemens, Committee Member
Alexander Nabutovsky, Committee Member
Martin Furer, Committee Member
Dmitri Yu Burago, Committee Member

Author:

Wang, Chenying

Title:

ANALYSIS OF FINITE-LENGTH LOW-DENSITY PARITY-CHECK CODES

Graduate Program:

Mathematics

Keywords:

LDPC codes
Min-Sum Decoding
Decoding Performance
Maximal Allowable Error
LU(m
q) Codes

File:

Download Thesiswcy.pdf

Committee Members:

Wen Ching Winnie Li, Dissertation Advisor/Co-Advisor
Wen Ching Winnie Li, Committee Chair/Co-Chair
John Metzner, Committee Member
Gary Lee Mullen, Committee Member
Stephen George Simpson, Committee Member

Author:

Dumitrascu, Constantin Dorin

Title:

A New Approach to Bivariant K-theory

Graduate Program:

Mathematics

Keywords:

associative product
C*-algebras
KK-theory
E-theory

File:

Download t.pdf

Committee Members:

Shyamoli Chaudhuri Plassmann, Committee Member
John Roe, Committee Member
Paul Frank Baum, Committee Member
Nigel David Higson, Committee Chair/Co-Chair

Author:

George, Christopher Yousuf

Title:

The Mackey Analogy for SL(n,R)

Graduate Program:

Mathematics

Keywords:

representation theory
Lie groups

File:

Download CYGeorge.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
Donald P Schneider, Committee Member

Author:

Matsnev, Dmitry Anatolievich

Title:

The Baum-Connes Conjecture and Group Actions on Affine Buildings

Graduate Program:

Mathematics

Keywords:

asymptotic dimension
affine buildings
proper group actions
Novikov conjecture
Baum-Connes conjecture

File:

Download thesis.pdf

Committee Members:

Nigel David Higson, Committee Chair/Co-Chair
John Roe, Committee Member
Victor Nistor, Committee Member
Murat Gunaydin, Committee Member

Author:

Genin, Daniel Ilya

Title:

Regular and Chaotic Dynamics of Outer Billiards

Graduate Program:

Mathematics

Keywords:

dynamical systems
outer billiards
hyperbolicity
chaos
piecewise-isometry
complexity

File:

Download thesis.pdf

Committee Members:

Sergei Tabachnikov, Committee Chair/Co-Chair
Mark Levi, Committee Member
Yakov B Pesin, Committee Member
Howard Weiss, Committee Member
Elena Katok, Committee Member
Nigel David Higson, Committee Member

Author:

Mieczkowski, David Johnathan

Title:

THE COHOMOLOGICAL EQUATION AND REPRESENTATION THEORY

Graduate Program:

Mathematics

Keywords:

cohomological equation
rigidity
homogeneous spaces
representation theory
parabolic
higher rank

File:

Download mythesis.pdf

Committee Members:

Anatole Katok, Committee Chair/Co-Chair
Dmitri Yu Burago, Committee Member
Omri Sarig, Committee Member
Mark Strikman, Committee Member

Author:

Scheglov, Dmitri V

Title:

Absence of mixing for smooth flows on the genus two surface

Graduate Program:

Mathematics

Keywords:

Rauzy induction
smooth dynamics

File:

Download DmitriScheglovThesis.pdf

Committee Members:

Anatole Katok, Dissertation Advisor/Co-Advisor
Anatole Katok, Committee Chair/Co-Chair
Omri Sarig, Committee Member
Martin Bojowald, Committee Member
Svetlana Katok, Committee Member

Author:

Cho, Durkbin

Title:

MULTILEVEL METHODS FOR THE GENERALIZED FINITE ELEMENT METHOD DISCRETIZATIONS

Graduate Program:

Mathematics

Keywords:

Generalized finite element method
Subspace correction methods
Auxiliary space methods
Multilevel methods
Exact controllability technique

File:

Download mythesis.pdf

Committee Members:

Ludmil Tomov Zikatanov, Committee Chair/Co-Chair
Jinchao Xu, Committee Member
Victor Nistor, Committee Member
Virendra Puri, Committee Member

Author:

Signori, Daniele

Title:

Poisson sigma models, reduction and nonlinear gauge theories

Graduate Program:

Mathematics

Keywords:

poisson sigma models
nonlinear gauge theories
homotopy algebras
AKSZ
BV
BFV
deformation quantization
principal groupoid bundle
groupoids
algebroids

File:

Download Daniele_Signori_-_Dissertation_-_Final_Version_-_Nov_20.pdf

Committee Members:

Ping Xu, Dissertation Advisor/Co-Advisor
Ping Xu, Committee Chair/Co-Chair
Adrian Ocneanu, Committee Chair/Co-Chair
Mathieu Philippe Stienon, Committee Member
Luen Chau Li, Committee Member
Martin Bojowald, Committee Member
Alberto Cattaneo, Committee Member

Author:

Endres, Erik Edward

Title:

Shocks and Wave Interactions for Compressible Flow

Graduate Program:

Mathematics

Keywords:

Euler system
shocks
rarefactions
interactions

File:

Download EndresDissertation.pdf

Committee Members:

Eric M Mockensturm, Committee Member
Helge Kristian Jenssen, Committee Chair/Co-Chair
Alexi Novikov, Committee Member
Yuxi Zheng, Committee Member