Absence of mixing for smooth flows on the genus two surface
Open Access
Author:
Scheglov, Dmitri V
Graduate Program:
Mathematics
Degree:
Doctor of Philosophy
Document Type:
Dissertation
Date of Defense:
June 02, 2009
Committee Members:
Anatole Katok, Dissertation Advisor/Co-Advisor Anatole Katok, Committee Chair/Co-Chair Omri Sarig, Committee Member Martin Bojowald, Committee Member Svetlana Katok, Committee Member
Keywords:
Rauzy induction smooth dynamics
Abstract:
We prove that typical flows with linearly isomorphic saddles on the genus two surface are not mixing.