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

Pacifico, Maria Jose, Yang, Fan, Yang, Jiagang

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.

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