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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