Dynamical Systems Seminar

Existence and uniqueness of equilibrium states for systems with specification at a fixed scale

  • 演讲者:杨佳刚(巴西弗鲁米嫩塞联邦大学)

  • 时间:2023-02-20 10:30-11:30

  • 地点:台州楼204A

Abstract: This is a joint work with Maria Jose Pacifico and Fan Yang. We consider the uniqueness of equilibrium states for dynamical systems that satisfy certain weak, non-uniform versions of specification, expansivity, and the Bowen property at a fixed scale. Following Climenhaga-Thompson's approach which was originally due to Bowen and Franco, we prove that equilibrium states are unique even when the weak specification assumption only holds on a small collection of orbit segments.