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Paper detail

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

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.

preprint2022arXivOpen access
Maria Jose PacificoFan YangJiagang Yang
math.DS
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Maria Jose PacificoFan YangJiagang Yang

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