- Fan Yang, Michigan State University
- A dichotomy for generic star flows
- 07/12/2022
- 2:00 PM - 3:00 PM
- C304 Wells Hall
- Huyi Hu (hhu@msu.edu)
In this talk we will present some recent progress on the topological structure of the so-called star flows (flows whose critical elements, i.e., singularities and periodic orbits, are hyperbolic in a robust way). In particular, we will prove that for $C^1$ generic star flows, every chain recurrent class with positive topological entropy must be isolated. On the other hand, zero entropy chain recurrent classes only support trivial ergodic measures.
