论文标题
具有固定规模规范的系统的平衡状态的存在和唯一性
Existence and uniqueness of equilibrium states for systems with specification at a fixed scale
论文作者
论文摘要
我们考虑了满足某些弱,不均匀版本的规范,扩张性和Bowen属性的动态系统的平衡状态的唯一性。在Climenhaga-Thompson的方法之后,最初是由于Bowen和Franco引起的,我们证明平衡状态是独特的,即使弱规范假设只有一小部分轨道段。
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.