Existence and uniqueness of equilibrium states for systems with specification at a fixed scale
Speaker: Jiagang Yang (Universidade Federal Fluminense, Brazil)
Time: Feb 20, 2023, 10:30-11:30
Location: Room 204A, Taizhou Hall
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.