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Author:

Chen, Jianyu

Title:

Coexistence of Hyperbolic and Non-hyperbolic Behavior in Smooth Dynamical Systems

Graduate Program:

Mathematics

Keywords:

Dynamical systems
Ergodic theory
Lyapunov exponents

File:

Download Jianyu_Chen-Dissertation.pdf

Committee Members:

Yakov B Pesin, Dissertation Advisor/Co-Advisor
Yakov B Pesin, Committee Chair/Co-Chair
Svetlana Katok, Committee Member
Mark Levi, Committee Member
Mark Strikman, Committee Member

Author:

Chen, Dong

Title:

On some problems in Lagrangian Dynamics and Finsler Geometry

Graduate Program:

Mathematics

Keywords:

KAM theory
Finsler metric
duel lens map Hamiltonian flow
perturbation
metric entropy
duel lens map
Hamiltonian flow
perturbation
metric entropy

File:

Download Dong_Chen-Dissertation_V2.pdf

Committee Members:

Dmitri Yu Burago, Dissertation Advisor/Co-Advisor
Dmitri Yu Burago, Committee Chair/Co-Chair
Federico Juan Rodriguez Hertz, Committee Member
Mark Levi, Committee Member
Runze Li, Outside Member