Partially hyperbolic phenomena in dynamical systems with descrete and continuous time.
Open Access
Author:
Talitskaya, Anna
Graduate Program:
Mathematics
Degree:
Doctor of Philosophy
Document Type:
Dissertation
Date of Defense:
November 14, 2003
Committee Members:
Yakov B Pesin, Committee Member Anatole Katok, Committee Member Omri Sarig, Committee Member Pyotr Berman, Committee Member
Keywords:
ergodic theory dynamical systems hyperbolicity flows
Abstract:
In chapter 3 we prove that any compact manifold of dimension n>=3 has a completely hyperbolic volume preserving Bernoulli flow. This is a joint work with H.Hu and Ya.Pesin. In chapter 4 we prove that there is a manifold of dimension at least four which possesses a hyperbolic ergodic map near the identity msp. This is a joint work with H.Hu. In chapter 5 we prove that stable accessibility is generic among suspension flows with the roof function in C_+^r (M). This result was proven by M.Brin but is not available in english.
