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

发布时间:2023-03-09 浏览量:80

时   间:  2023-03-09 09:30 — 11:00

地   点:  会议室(703)
报告人:  杨佳刚
单   位:  Universidade Federal Fluminense
邀请人:  王晓东
备   注:  
报告摘要:  

This ia 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.