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Start Over Graduate Program Mathematics Year 2016

1. Asymptotic formulae in analytic number theory

open_access
Open Access
Author:
Gafni, Ayla R.
Title:
Asymptotic formulae in analytic number theory
Graduate Program:
Mathematics
Keywords:
Partitions into powers
circle method
exponential sums
Diophantine approximation
Khinchin theory
Selberg functions
File:
Download Gafni-Dissertation.pdf
Committee Members:
Robert Charles Vaughan, Dissertation Advisor/Co-Advisor
Robert Charles Vaughan, Committee Chair/Co-Chair
Wen Ching W Li, Committee Member
Woodrow Dale Brownawell, Committee Member
Emily Rolfe Grosholz, Committee Member

3. Orthogonal Sets of Latin Squares and Class-r Hypercubes Generated By Finite Algebraic Systems

open_access
Open Access
Author:
Droz, Daniel Robert
Title:
Orthogonal Sets of Latin Squares and Class-r Hypercubes Generated By Finite Algebraic Systems
Graduate Program:
Mathematics
Keywords:
Latin squares
finite fields
neofields
MDS codes
Evans' conjecture
File:
Download DrozDissertation.pdf
Committee Members:
Gary Lee Mullen, Dissertation Advisor/Co-Advisor
Woodrow Dale Brownawell, Committee Member
James Allen Sellers, Committee Member
James Landis Rosenberger, Committee Member

7. ACCOUNTING FOR THE MODELING ERROR AND SAMPLING ERROR OF ENSEMBLE KALMAN FILTERS

open_access
Open Access
Author:
Zhen, Yicun
Title:
ACCOUNTING FOR THE MODELING ERROR AND SAMPLING ERROR OF ENSEMBLE KALMAN FILTERS
Graduate Program:
Mathematics
Keywords:
Kalman filter
model error
sampling error
covariance localization
covariance inflation
covariance estimation
EnKF
File:
Download YicunZhen-Dissertation.pdf
Committee Members:
Yuxi Zheng, Dissertation Advisor/Co-Advisor
Yuxi Zheng, Committee Chair/Co-Chair
Ludmil Tomov Zikatanov, Committee Member
Alexei Novikov, Committee Member
Murali Haran, Outside Member
Fuqing Zhang, Dissertation Advisor/Co-Advisor
Fuqing Zhang, Committee Chair/Co-Chair

8. Uniqueness and singularities of weak solutions to some nonlinear wave equations

open_access
Open Access
Author:
Zhang, Qingtian
Title:
Uniqueness and singularities of weak solutions to some nonlinear wave equations
Graduate Program:
Mathematics
Keywords:
Camassa-Holm
Singularity
Uniqueness
weak solution
p-system
variational wave equation
well-posedness
File:
Download Qingtian_Zhang-Dissertation.pdf
Committee Members:
Alberto Bressan, Dissertation Advisor/Co-Advisor
Alberto Bressan, Committee Chair/Co-Chair
Chun Liu, Committee Member
Anna L Mazzucato, Committee Member
Francesco Costanzo, Outside Member
Toan Nguyen, Committee Member
Yuxi Zheng, Committee Member

9. Rigidity of Genuinely Higher-Rank Homogeneous Flows

open_access
Open Access
Author:
Vinhage, Kurt William
Title:
Rigidity of Genuinely Higher-Rank Homogeneous Flows
Graduate Program:
Mathematics
Keywords:
Dynamical Systems
Higher-Rank Actions
Rigidity
Homogeneous Actions
File:
Download mythesis.pdf
Committee Members:
Anatole Katok, Dissertation Advisor/Co-Advisor
Federico Rodriguez-Hertz, Committee Chair/Co-Chair
Boris Kalinin, Committee Member
Nigel David Higson, Committee Member
Martin Bojowald, Outside Member