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1. Thermodynamic Formalism for Nonuniformly Hyperbolic Dynamical Systems

open_access
Open Access
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

2. Symbolic Dynamics of the Weyl Chamber Flow

open_access
Open Access
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

5. Conformal mapping and variational methods for interfacial dynamics in fluids

open_access
Open Access
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

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

open_access
Open Access
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

7. Effective Viscosity of Dilute Bacterial Suspensions

open_access
Open Access
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

8. Finite Element Approximations of High Order Partial Differential Equations

open_access
Open Access
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

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

open_access
Open Access
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

13. The Mackey Analogy for SL(n,R)

open_access
Open Access
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

14. The Baum-Connes Conjecture and Group Actions on Affine Buildings

open_access
Open Access
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

15. Regular and Chaotic Dynamics of Outer Billiards

open_access
Open Access
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

18. MULTILEVEL METHODS FOR THE GENERALIZED FINITE ELEMENT METHOD DISCRETIZATIONS

open_access
Open Access
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

19. Poisson sigma models, reduction and nonlinear gauge theories

open_access
Open Access
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

23. Numerical Methods for Multiphysics, Multiphase, and Multicomponent Models for Fuel Cells

open_access
Open Access
Author:
Xue, Guangri
Title:
Numerical Methods for Multiphysics, Multiphase, and Multicomponent Models for Fuel Cells
Graduate Program:
Mathematics
Keywords:
Numerical methods
multiphysics
multicomponent
fuel cell
multiphase
coupling
File:
Download thesis-GuangriXue.pdf
Committee Members:
Jinchao Xu, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Chun Liu, Committee Member
Alberto Bressan, Committee Member
Chao Yang Wang, Committee Member

25. AN ENERGETIC VARIATIONAL APPROACH TO MODELING COMPLEX FLUIDS AND ITS NUMERICAL SIMULATIONS

open_access
Open Access
Author:
Sun, Huan
Title:
AN ENERGETIC VARIATIONAL APPROACH TO MODELING COMPLEX FLUIDS AND ITS NUMERICAL SIMULATIONS
Graduate Program:
Mathematics
Keywords:
PDE
variational techniques
complex fluids
numerical simulations
File:
Download thesis_main.pdf
Committee Members:
Chun Liu And James Brannick, Dissertation Advisor/Co-Advisor
Chun Liu, Committee Chair/Co-Chair
James Joseph Brannick, Committee Chair/Co-Chair
Xiantao Li, Committee Member
Yuxi Zheng, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Ralph H Colby, Committee Member

26. Asymptotics of partition functions

open_access
Open Access
Author:
Todt, Heiko
Title:
Asymptotics of partition functions
Graduate Program:
Mathematics
Keywords:
asymptotics
partitions
File:
Download Heiko_Todt-Dissertation.pdf
Committee Members:
George E Andrews, Dissertation Advisor/Co-Advisor
George E Andrews, Committee Chair/Co-Chair
Ae Ja Yee, Committee Member
James Allen Sellers, Committee Member
Robert Charles Vaughan, Committee Member
Donald Richards, Committee Member

28. ELLIPTIC EQUATIONS WITH SINGULARITIES: A PRIORI ANALYSIS AND NUMERICAL APPROACHES

open_access
Open Access
Author:
Li, Hengguang
Title:
ELLIPTIC EQUATIONS WITH SINGULARITIES: A PRIORI ANALYSIS AND NUMERICAL APPROACHES
Graduate Program:
Mathematics
Keywords:
the finite element method
weighted sobolev spaces
singularities
elliptic equations
a priori analysis
the multigrid method
File:
Download HengguangLiDissertation.pdf
Committee Members:
Victor Nistor, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Chair/Co-Chair
Jinchao Xu, Committee Member
Anna L Mazzucato, Committee Member
Corina Stefania Drapaca, Committee Member

29. Skew Embeddings and Immersions of Manifolds into Euclidean Spaces in Codimension Two

open_access
Open Access
Author:
Tyurina, Yulia
Title:
Skew Embeddings and Immersions of Manifolds into Euclidean Spaces in Codimension Two
Graduate Program:
Mathematics
Keywords:
skew embedding
skew immersion
Grassman manifold
Grassmanian
File:
Download md.pdf
Committee Members:
Serge Tabachnikov, Committee Chair/Co-Chair
Svetlana Katok, Committee Member
Augustin Banyaga, Committee Member
Aissa Wade, Committee Member
Wojciech Makalowski, Committee Member

31. Formal Groups and Atkin and Swinnerton-Dyer Congruences

open_access
Open Access
Author:
Kibelbek, Jonas
Title:
Formal Groups and Atkin and Swinnerton-Dyer Congruences
Graduate Program:
Mathematics
Keywords:
congruences
modular forms
formal groups
File:
Download Jonas-Kibelbek-Dissertation.pdf
Committee Members:
Wen Ching W Li, Dissertation Advisor/Co-Advisor
Wen Ching W Li, Committee Chair/Co-Chair
Woodrow Dale Brownawell, Committee Member
Robert Charles Vaughan, Committee Member
Ling Rothrock, Committee Member

33. The Atiyah-Singer Index Formula for Subelliptic Operators on Contact Manifolds

open_access
Open Access
Author:
Van Erp, Johannes
Title:
The Atiyah-Singer Index Formula for Subelliptic Operators on Contact Manifolds
Graduate Program:
Mathematics
Keywords:
Index theory
Hypoelliptic operators
Contact manifolds
File:
Download hypindex.pdf
Committee Members:
Nigel David Higson, Committee Chair/Co-Chair
John Roe, Committee Member
Victor Nistor, Committee Member
Anna L Mazzucato, Committee Member
Murat Gunaydin, Committee Member

34. On the Higson-Mackey Analogy, Group C*-Algebras, and K-Theory

open_access
Open Access
Author:
Skukalek, John Robert
Title:
On the Higson-Mackey Analogy, Group C*-Algebras, and K-Theory
Graduate Program:
Mathematics
Keywords:
almost connected Lie groups
group representations
operator algebras
Baum-Connes conjecture
Mackey analogy
File:
Download skukalek_thesis_final.pdf
Committee Members:
Nigel David Higson, Dissertation Advisor/Co-Advisor
Nigel David Higson, Committee Chair/Co-Chair
Paul Frank Baum, Committee Member
Nate Brown, Committee Member
Abhay Vasant Ashtekar, Committee Member

36. STOCHASTIC AND DETERMINISTIC COAGULATION MODELS, THEIR NUMERICAL APPROXIMATIONS AND APPLICATIONS TO CELL AGGREGATION

open_access
Open Access
Author:
Wang, Jiakou
Title:
STOCHASTIC AND DETERMINISTIC COAGULATION MODELS, THEIR NUMERICAL APPROXIMATIONS AND APPLICATIONS TO CELL AGGREGATION
Graduate Program:
Mathematics
Keywords:
cell aggregation
coagulation equation
stochastic model
time relaxed method
File:
Download Wang-Dissertation.pdf
Committee Members:
Qiang Du, Committee Chair/Co-Chair
Cheng Dong, Committee Member
Chun Liu, Committee Member
Suzanne Michelle Shontz, Committee Member
Ludmil Tomov Zikatanov, Committee Member

37. OPTIMAL INTERMEDIATED INVESTMENT IN A LIQUIDITY-DRIVEN BUSINESS CYCLE

open_access
Open Access
Author:
Pan, Jia
Title:
OPTIMAL INTERMEDIATED INVESTMENT IN A LIQUIDITY-DRIVEN BUSINESS CYCLE
Graduate Program:
Mathematics
Keywords:
dynamical programming
general equilibrium
infinite horizon
liquidity risk
banking
numerical algorithm
File:
Download mythesis.pdf
Committee Members:
Edward James Green, Committee Chair/Co-Chair
Jenny Li, Committee Chair/Co-Chair
Qiang Du, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Ruilin Zhou, Committee Member

38. THE ENDOMORPHISM ALGEBRAS AND HODGE GROUPS OF CERTAIN SUPERELLIPTIC JACOBIANS

open_access
Open Access
Author:
Xue, Jiangwei
Title:
THE ENDOMORPHISM ALGEBRAS AND HODGE GROUPS OF CERTAIN SUPERELLIPTIC JACOBIANS
Graduate Program:
Mathematics
Keywords:
abelian variety
superelliptic curve
jacobian
File:
Download mythesis.pdf
Committee Members:
Yuri G Zarhin, Dissertation Advisor/Co-Advisor
Yuri G Zarhin, Committee Chair/Co-Chair
Woodrow Dale Brownawell, Committee Member
Mihran Papikian, Committee Member
Mark Latash, Committee Member

40. Parity Considerations in Andrews-Gordon Identities and the k-Marked Durfee Symbols

open_access
Open Access
Author:
Kursungoz, Kagan
Title:
Parity Considerations in Andrews-Gordon Identities and the k-Marked Durfee Symbols
Graduate Program:
Mathematics
Keywords:
cluster parity index
parity index
Gordon marking
integer partition
k-marked Durfee symbol
File:
Download Kursungoz_Dissertation.pdf
Committee Members:
George E Andrews, Dissertation Advisor/Co-Advisor
George E Andrews, Committee Chair/Co-Chair
Ae Ja Yee, Committee Member
Woodrow Dale Brownawell, Committee Member
G Jogesh Babu, Committee Member

42. Robust and Accurate Algorithms for Solving Anisotropic Singularities

open_access
Open Access
Author:
Chen, Long
Title:
Robust and Accurate Algorithms for Solving Anisotropic Singularities
Graduate Program:
Mathematics
Keywords:
mesh adaptation
anisotropic error estimate
convection dominated problem
singularly perturbed problem
optimal Delaunay triangulation
nonlinear approximation
File:
Download MyThesis.pdf
Committee Members:
Jinchao Xu, Committee Chair/Co-Chair
Qiang Du, Committee Member
Chun Liu, Committee Member
James Z Wang, Committee Member
Ludmil Tomov Zikatanov, Committee Member

43. Phase field model for the nucleation in solid state phase transformations: Theories, Algorithms and Applications

open_access
Open Access
Author:
Zhang, Lei
Title:
Phase field model for the nucleation in solid state phase transformations: Theories, Algorithms and Applications
Graduate Program:
Mathematics
Keywords:
Phase field
nucleation
critical nucleus
solid state
File:
Download Lei-Dissertation.pdf
Committee Members:
Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Long Qing Chen, Committee Member
Chun Liu, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member

44. EXPERIMENTS AND MODELING IN VISCOELASTIC FLUIDS: DIMPLED DROPS AND BEADED FILAMENTS

open_access
Open Access
Author:
Sostarecz, Michael Craig
Title:
EXPERIMENTS AND MODELING IN VISCOELASTIC FLUIDS: DIMPLED DROPS AND BEADED FILAMENTS
Graduate Program:
Mathematics
Keywords:
Stability Analysis
Evolution Equation
Free Boundary Problems
Asymptotic Expansion
Viscoelastic Fluids
Fluid Dynamics
Beads-on-String
Drops and Bubbles
Torus
File:
Download SostareczThesis.pdf
Committee Members:
Andrew Leonard Belmonte, Committee Chair/Co-Chair
Diane Marie Henderson, Committee Member
Ali Borhan, Committee Member
Qiang Du, Committee Member
Nigel David Higson, Committee Member

45. Multilevel and Adaptive Methods for Some Nonlinear Optimization Problems

open_access
Open Access
Author:
Emelianenko, Maria
Title:
Multilevel and Adaptive Methods for Some Nonlinear Optimization Problems
Graduate Program:
Mathematics
Keywords:
optimization
multigrid methods
computational geometry
numerical analysis
computational methods in materials science
File:
Download emelianenko-Dissertation.pdf
Committee Members:
Qiang Du, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Dr Zi Kui Liu, Committee Member
Dr Hongyuan Zha, Committee Member
Wen Shen, Committee Member
Nigel David Higson, Committee Member

47. Stochastic and Deterministic Processes in Fragmentation and Sedimentation

open_access
Open Access
Author:
Higley, Michael
Title:
Stochastic and Deterministic Processes in Fragmentation and Sedimentation
Graduate Program:
Mathematics
Keywords:
Galton board
fragment size
settling speed
File:
Download higley_final_draft.pdf
Committee Members:
Andrew Leonard Belmonte, Dissertation Advisor/Co-Advisor
Andrew Leonard Belmonte, Committee Chair/Co-Chair
Qiang Du, Committee Member
Diane Marie Henderson, Committee Member
Francesco Costanzo, Committee Member

48. Courant algebroids: Cohomology and matched pairs

open_access
Open Access
Author:
Grutzmann, Melchior
Title:
Courant algebroids: Cohomology and matched pairs
Graduate Program:
Mathematics
Keywords:
Courant
algebroid
cohomology
matched pairs
File:
Download thesis.pdf
Committee Members:
Ping Xu, Dissertation Advisor/Co-Advisor
Ping Xu, Committee Chair/Co-Chair
Mathieu Philippe Stienon, Committee Chair/Co-Chair
Aissa Wade, Committee Member
Adrian Ocneanu, Committee Member
Luen Chau Li, Committee Member
Martin Bojowald, Committee Member

49. ANALYSIS OF DETERMINISTIC AND STOCHASTIC IMPLICIT INTERFACE MODELS OF FLUID-INTERFACE INTERACTIONS

open_access
Open Access
Author:
Li, Manlin
Title:
ANALYSIS OF DETERMINISTIC AND STOCHASTIC IMPLICIT INTERFACE MODELS OF FLUID-INTERFACE INTERACTIONS
Graduate Program:
Mathematics
Keywords:
SIIM
phase field
implict interface
File:
Download Thesis-ManlinLi.pdf
Committee Members:
Qiang Du, Dissertation Advisor/Co-Advisor
Qiang Du, Committee Chair/Co-Chair
Chun Liu, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
John Fricks, Committee Member

51. Low-Density Parity-Check Codes: Asymptotic Behavior and Zeta Functions

open_access
Open Access
Author:
Lu, Min
Title:
Low-Density Parity-Check Codes: Asymptotic Behavior and Zeta Functions
Graduate Program:
Mathematics
Keywords:
LDPC codes
iterative decoding
pseudo-codewords
capacity-achieving sequences
File:
Download MinLu_Thesis.pdf
Committee Members:
Wen Ching Winnie Li, Dissertation Advisor/Co-Advisor
Wen Ching Winnie Li, Committee Chair/Co-Chair
John Metzner, Committee Member
David Jonathan Miller, Committee Member
Gary Lee Mullen, Committee Member

54. Band-dominated operators and the stable Higson corona

open_access
Open Access
Author:
Willett, Rufus
Title:
Band-dominated operators and the stable Higson corona
Graduate Program:
Mathematics
Keywords:
coarse geometry
index theorey
Baum-Connes conjecture
File:
Download Willettthesis.pdf
Committee Members:
John Roe, Dissertation Advisor/Co-Advisor
John Roe, Committee Chair/Co-Chair
Paul Frank Baum, Committee Member
Nathanial Patrick Brown, Committee Member
Nigel David Higson, Committee Member
Donald P Schneider, Committee Member

56. An Energetic Variational Approach to Mathematical Modeling of Charged Fluids: Charge Phases, Simulation and Well Posedness

open_access
Open Access
Author:
Ryham, Rolf Josef
Title:
An Energetic Variational Approach to Mathematical Modeling of Charged Fluids: Charge Phases, Simulation and Well Posedness
Graduate Program:
Mathematics
Keywords:
ER fluid
electrokinetics
Nernst-Plank-Poisson
phase field
File:
Download RolfRyhamThesis.pdf
Committee Members:
Chun Liu, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Chair/Co-Chair
Qiang Du, Committee Member
Yousry Azmy, Committee Member
Fanghua Lin, Committee Member

57. Precise asymptotics for periodic orbits of the geodesic flow in nonpositive curvature

open_access
Open Access
Author:
Gunesch, Roland
Title:
Precise asymptotics for periodic orbits of the geodesic flow in nonpositive curvature
Graduate Program:
Mathematics
Keywords:
dynamical systems
closed geodesics
Riemannian geometry
geodesic flows
measure of maximal entropy
nonpositive curvature
File:
Download etd.pdf
Committee Members:
John Metzner, Committee Member
Professor Dr Anatole B Katok, Committee Chair/Co-Chair
Professor Dr Mark Levi, Committee Member
Professor Dr Serge Tabachnikov, Committee Member

58. A PL-manifold of nonnegative curvature homeomorphic to S^2 × S^2 is a direct metric product

open_access
Open Access
Author:
Orshanskiy, Sergey
Title:
A PL-manifold of nonnegative curvature homeomorphic to S^2 × S^2 is a direct metric product
Graduate Program:
Mathematics
Keywords:
polyhedral space
nonnegative curvature
Hopf conjecture
direct metric product
File:
Download Orshanskiy-dissertation.pdf
Committee Members:
Dmitri Yu Burago, Dissertation Advisor/Co-Advisor
Dmitri Yu Burago, Committee Chair/Co-Chair
Anton Petrunin, Committee Member
Yuri Zarhin, Committee Member
Mark Levi, Committee Member
Adam Smith, Committee Member

59. The Medvedev and Muchnik Lattices of Pi-0-1 Classes

open_access
Open Access
Author:
Binns, Stephen Ernest
Title:
The Medvedev and Muchnik Lattices of Pi-0-1 Classes
Graduate Program:
Mathematics
Keywords:
Medvedev
computability theory
recursion theory
Cantor space
Pi-0-1
Muchnik
recursive functional
small
very small
thin
File:
Download thesis.pdf
Committee Members:
Stephen George Simpson, Committee Chair/Co-Chair
Richard Beech Mansfield, Committee Member
William C Waterhouse, Committee Member
Dale Jacquette, Committee Member

62. Equivariant Noncommutative Residue and an Equivarirant Weyl's Theorem

open_access
Open Access
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

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

open_access
Open Access
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

65. Mathematical Control and Dynamic Blocking Problems

open_access
Open Access
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

67. Abstract Principal Component Analysis And Applications To Model Reduction

open_access
Open Access
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

69. Thermodynamic formalism and multifractal analysis for general topological dynamical systems

open_access
Open Access
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

72. Effective viscosity and dynamics of suspensions of micro-swimmers

open_access
Open Access
Author:
Gyrya, Vitaliy
Title:
Effective viscosity and dynamics of suspensions of micro-swimmers
Graduate Program:
Mathematics
Keywords:
Stokes
bacteria
microswimmers
effective viscosity
rheology
interactions
self-propulsion
File:
Download gyrya_dissertation.pdf
Committee Members:
Leonid Berlyand, Dissertation Advisor/Co-Advisor
Leonid Berlyand, Committee Chair/Co-Chair
Andrew Leonard Belmonte, Committee Member
Anna L Mazzucato, Committee Member
Timothy Reluga, Committee Member
Reka Z Albert, Committee Member

74. Approximate Solutions to Second Order Parabolic Equations with Applications to Option Pricing

open_access
Open Access
Author:
Cheng, Wen
Title:
Approximate Solutions to Second Order Parabolic Equations with Applications to Option Pricing
Graduate Program:
Mathematics
Keywords:
Green function
Fokker Planck equation
parabolic equation
Option Pricing
File:
Download WenCheng-Dissertation.pdf
Committee Members:
Victor Nistor, Dissertation Advisor/Co-Advisor
Victor Nistor, Committee Chair/Co-Chair
Anna L Mazzucato, Committee Chair/Co-Chair
John C Liechty, Committee Member
Alexei Novikov, Committee Member

76. PHASE FIELD MODELS AND SIMULATIONS OF VESICLE BIO-MEMBRANES

open_access
Open Access
Author:
Wang, Xiaoqiang
Title:
PHASE FIELD MODELS AND SIMULATIONS OF VESICLE BIO-MEMBRANES
Graduate Program:
Mathematics
Keywords:
Vesicle membrane
elastic bending energy
energetic variational approach
diffusive interface approximation
phase field model
numerical methods
three dimensional simulation
Navier-Stokes equation
File:
Download bubble.pdf
Committee Members:
Qiang Du, Committee Chair/Co-Chair
Chun Liu, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Hongyuan Zha, Committee Member

77. Topics on Stability of Complex Fluid Models

open_access
Open Access
Author:
Xu, Xiang
Title:
Topics on Stability of Complex Fluid Models
Graduate Program:
Mathematics
Keywords:
stability analysis
energetic variational approaches
long time behavior
Parodi's relation
File:
Download Xiang_Xu-Dissertation.pdf
Committee Members:
Chun Liu, Dissertation Advisor/Co-Advisor
Chun Liu, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Andrew Leonard Belmonte, Committee Member
Francesco Costanzo, Committee Member

78. zeta functions of complexes from PGSp(4)

open_access
Open Access
Author:
Fang, Yang
Title:
zeta functions of complexes from PGSp(4)
Graduate Program:
Mathematics
Keywords:
zeta
identity
PGSp(4)
File:
Download Thesisfy.pdf
Committee Members:
Winnie Li, Dissertation Advisor/Co-Advisor
Wen Ching Winnie Li, Committee Chair/Co-Chair
Dale Brownawell, Committee Member
William C Waterhouse, Committee Member
Sencun Zhu, Committee Member

79. Modelling and Simulations of non-Newtonian fluid flows

open_access
Open Access
Author:
Lee, Young-Ju
Title:
Modelling and Simulations of non-Newtonian fluid flows
Graduate Program:
Mathematics
Keywords:
conformation tensor
non-Newtonian models
constitutive equation
positivity preserving scheme
Riccati differential equation
Lie derivative
multigrid
singular problems
falling sphere simulations
the Johnson-Segalman model
File:
Download mythesis.pdf
Committee Members:
Jinchao Xu, Committee Chair/Co-Chair
Chun Liu, Committee Member
Andrew Leonard Belmonte, Committee Member
James Spiro Vrentas, Committee Member
Nigel David Higson, Committee Member

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

open_access
Open Access
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

81. Analysis on Singular Spaces: Applications of Operator Algebras to Boundary Value Problems

open_access
Open Access
Author:
Qiao, Yu
Title:
Analysis on Singular Spaces: Applications of Operator Algebras to Boundary Value Problems
Graduate Program:
Mathematics
Keywords:
Layer potentials
domains with conical points
Lie groupoids
Dirichlet Problem
C^*-algebras
Mellin transforem
File:
Download YuQiao-Dissertation.pdf
Committee Members:
Victor Nistor, Dissertation Advisor/Co-Advisor
Victor Nistor, Committee Chair/Co-Chair
John Roe, Committee Chair/Co-Chair
Kris Wysocki, Committee Member
Anna L Mazzucato, Committee Member
Corina Stefania Drapaca, Committee Member

82. ROBUST PRECONDITIONERS FOR H(grad), H(curl) AND H(div) SYSTEMS WITH STRONGLY DISCONTINUOUS COEFFICIENTS

open_access
Open Access
Author:
Zhu, Yunrong
Title:
ROBUST PRECONDITIONERS FOR H(grad), H(curl) AND H(div) SYSTEMS WITH STRONGLY DISCONTINUOUS COEFFICIENTS
Graduate Program:
Mathematics
Keywords:
Jump Coefficients
Multigrid
BPX preconditioner
Domain Decomposition
Condition Number
File:
Download Zhu-thesis.pdf
Committee Members:
Jinchao Xu, Committee Chair/Co-Chair
Victor Nistor, Committee Member
Francesco Costanzo, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Anna L Mazzucato, Committee Member

84. Asymptotic Analysis of Effective Properties of Highly Concentrated Composites

open_access
Open Access
Author:
Gorb, Yuliya
Title:
Asymptotic Analysis of Effective Properties of Highly Concentrated Composites
Graduate Program:
Mathematics
Keywords:
effective properties
high contrast composites
homogenization
asymptotics
discrete network
error estimate
variational bounds
Poiseuille flow
File:
Download YGORB-thesis.pdf
Committee Members:
Leonid Berlyand, Committee Chair/Co-Chair
Andrew Leonard Belmonte, Committee Member
Francesco Costanzo, Committee Member
Alexei Novikov, Committee Member
Ludmil Tomov Zikatanov, Committee Member

85. OPERATORS BASED ON DOUBLE COSETS OF $GL_2$

open_access
Open Access
Author:
Meemark, Yotsanan
Title:
OPERATORS BASED ON DOUBLE COSETS OF $GL_2$
Graduate Program:
Mathematics
Keywords:
Drinfeld modular forms
character sum estimates
Kirillov models
Ramanujan graphs
harmonic cocycles
Hecke operators
File:
Download FullPhDThesis.pdf
Committee Members:
Wen Ching Winnie Li, Committee Chair/Co-Chair
Woodrow Dale Brownawell, Committee Member
Yuri G Zarhin, Committee Member
Murat Gunaydin, Committee Member
Nigel David Higson, Committee Member

89. The distribution of the divisor function in arithmetic progressions.

open_access
Open Access
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

90. Mutually Orthogonal Latin Squares via Polynomials Modulo n

open_access
Open Access
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

91. Substitution Markov chains with applications to molecular evolution

open_access
Open Access
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

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

open_access
Open Access
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

93. THE ANALYSIS OF THE PERIDYNAMIC THEORY OF SOLID MECHANICS

open_access
Open Access
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

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

open_access
Open Access
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

97. Equivariant Homology and Representation Theory of p-adic Groups

open_access
Open Access
Author:
Crisp, Tyrone
Title:
Equivariant Homology and Representation Theory of p-adic Groups
Graduate Program:
Mathematics
Keywords:
Equivariant homology
representation theory of reductive p-adic groups
the Baum-Connes conjecture
File:
Download crisp_psu-thesis.pdf
Committee Members:
Nigel David Higson, Dissertation Advisor/Co-Advisor
Nigel David Higson, Committee Chair/Co-Chair
Paul Frank Baum, Committee Member
Woodrow Dale Brownawell, Committee Member
Martin Bojowald, Committee Member

98. The Generalized Finite Element Method: Numerical Treatment of Singularities, Interfaces, and Boundary Conditions

open_access
Open Access
Author:
Qu, Qingqin
Title:
The Generalized Finite Element Method: Numerical Treatment of Singularities, Interfaces, and Boundary Conditions
Graduate Program:
Mathematics
Keywords:
Interface problems
Partition of unity
Generalized finite element method
Weighted Sobolev spaces
Optimal rate of Convergence
File:
Download mythesis.pdf
Committee Members:
Anna L Mazzucato, Dissertation Advisor/Co-Advisor
Victor Nistor, Dissertation Advisor/Co-Advisor
Anna L Mazzucato, Committee Chair/Co-Chair
Victor Nistor, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Xiantao Li, Committee Member
Corina Stefania Drapaca, Committee Member

99. A Lie-algebraic Approach to the Local Index Theorem on Compact Homogeneous Spaces

open_access
Open Access
Author:
Hong, Seunghun
Title:
A Lie-algebraic Approach to the Local Index Theorem on Compact Homogeneous Spaces
Graduate Program:
Mathematics
Keywords:
local index theory
cubic Dirac operator
heat kernel asymptotics
compact homogeneous spaces
quantum Weil algebra
File:
Download Seunghun_Hong_Final_Dissertation_Revised.pdf
Committee Members:
Nigel David Higson, Committee Chair/Co-Chair
Nigel David Higson, Dissertation Advisor/Co-Advisor
John Roe, Committee Member
Ping Xu, Committee Member
Martin Bojowald, Committee Member

100. Analytic methods for Diophantine problems

open_access
Open Access
Author:
Huang, Jingjing
Title:
Analytic methods for Diophantine problems
Graduate Program:
Mathematics
Keywords:
unit fractions
Egyptian fractions
Diophantine equations
analytic methods
File:
Download Huang-Dissertation.pdf
Committee Members:
Robert Charles Vaughan, Dissertation Advisor/Co-Advisor
Robert Charles Vaughan, Committee Chair/Co-Chair
Winnie Li, Committee Chair/Co-Chair
Dale Brownawell, Committee Member
Donald Richards, Special Member