微分动力系统学术报告

报告题目: Existence and uniqueness of equilibrium states for systems with specification at a fixed scale

报告人：杨佳刚（巴西弗鲁米嫩塞联邦大学）

时间： 2023.2.28, 10:00-11:00

地点：沙河国实E404

摘要：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.

邀请人：文晓、张金华