Department of Mathematics

Dynamical Systems

  •  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 (

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.



Department of Mathematics
Michigan State University
619 Red Cedar Road
C212 Wells Hall
East Lansing, MI 48824

Phone: (517) 353-0844
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College of Natural Science