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Author:

Sert, Gozde

Title:

Functional Analysis on Newton Spaces

Graduate Program:

Mathematics

Keywords:

Newton spaces
Plancherel theory
Laguerre polynomials

File:

Download GozdeSertThesis.pdf

Committee Members:

Donald Richards, Thesis Advisor/Co-Advisor
Mark Levi, Committee Member
Carina Pamela Curto, Program Head/Chair
Alberto Bressan, Committee Member
George E Andrews, Committee Member

Author:

Shahidi, Farruh

Title:

Decay of correlations for dynamical systems with non-zero Lyapunov exponents

Graduate Program:

Mathematics

Keywords:

Lyapunov Exponents
Non-uniform hyperbolicity
Decay of Correlations
Inducing schemes

File:

Download thesis1212021__5_.pdf

Committee Members:

Yakov B Pesin, Dissertation Advisor/Co-Advisor
Yakov B Pesin, Committee Chair/Co-Chair
Federico Juan Rodriguez Hertz, Committee Member
Zhiren Wang, Committee Member
Mark Strikman, Outside Member
Alexei Novikov, Program Head/Chair

Author:

Chen, Jianhong

Title:

Reducing Model Complexity and Overcoming Overfitting: Deep Learning Algorithms and Medical Applications

Graduate Program:

Mathematics

Keywords:

Deep learning
Compressed sensing
Medical application

File:

Download JianhongChen-Dissertation.pdf

Committee Members:

Jinchao Xu, Dissertation Advisor/Co-Advisor
Wenrui Hao, Committee Member
Xiantao Li, Committee Member
Ludmil Tomov Zikatanov, Committee Member
Xiang Zhang, Outside Member
Alexei Novikov, Program Head/Chair
Jinchao Xu, Committee Chair/Co-Chair

Author:

Li, Ming Yang

Title:

Algorithmic randomness and complexity for continuous measures

Graduate Program:

Mathematics

Keywords:

Algorithmic randomness
Continuous measures
Never continuously random
Turing degree
Algorithmic complexity
Descriptive set theory

File:

Download Randomness_and_complexity_for_continuous_measures.pdf

Committee Members:

Jan S Reimann, Dissertation Advisor/Co-Advisor
Jan S Reimann, Committee Chair/Co-Chair
Manfred Denker, Committee Member
Linda Brown Westrick, Committee Member
Viveck Ramesh Cadambe, Outside Member
Alexei Novikov, Program Head/Chair

Author:

Nguyen, Trinh

Title:

The inviscid limit of the Navier-Stokes equations

Graduate Program:

Mathematics

Keywords:

Inviscid limits
Navier-Stokes
Euler
vortex-wave
vortices
fluid dynamics

File:

Download Trinh-thesis.pdf

Committee Members:

Toan Nguyen, Dissertation Advisor/Co-Advisor
Toan Nguyen, Committee Chair/Co-Chair
Anna L Mazzucato, Committee Member
Alberto Bressan, Committee Member
Donghui Jeong, Outside Member
Mark Levi, Program Head/Chair