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arXiv · 2201.06568

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

Maria Jose Pacifico·Fan Yang·Jiagang Yang
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Abstract

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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Maria Jose Pacifico, Fan Yang, Jiagang Yang. 2022-01-17. Existence and uniqueness of equilibrium states for systems with specification at a fixed scale. https://arxiv.org/abs/2201.06568

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