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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