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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

Author:

Leblond, Tyler

Title:

Studies of matrix elements of observables in quantum many-body systems

Graduate Program:

Physics

Keywords:

physics
quantum
many-body
thermalization
chaos
integrability
matrix elements
random matrix theory
statistical mechanics

File:

Download Matrix_Element_Properties_of_Few_Body_Observables_in_Quantum_Many_Body_Systems_47_.pdf

Committee Members:

Marcos Antonio Rigol, Dissertation Advisor/Co-Advisor
Marcos Antonio Rigol, Committee Chair/Co-Chair
Eugenio Bianchi, Committee Member
Mikael Caleb Rechtsman, Committee Member
Luen-Chau Li, Outside Member
Nitin Samarth, Program Head/Chair

Author:

Bhattacharyya, Suparno

Title:

Physics-informed model reduction of dynamical systems subjected to impacts and discontinuity

Graduate Program:

Engineering Science and Mechanics

Keywords:

Physics-informed model reduction
reduced order modeling
model reduction
structural vibration
nonlinear dynamics
impulsive loading
kicked oscillator
data-driven methods
dimension reduction
POD
PCA
Proper orthogonal decomposition
Energy-closure criterion
vibration
structural dynamics
simulation
beam theory
solid mechanics
dynamical systems
chaos
bifurcation

File:

Download Bhattacharyya_PhD_thesis.pdf

Committee Members:

Joseph Cusumano, Chair & Dissertation Advisor
Corina Drapaca, Major Field Member
Francesco Costanzo, Major & Minor Field Member
George Lesieutre, Outside Unit & Field Member
Albert Segall, Program Head/Chair