Properties of equilibrium states for geodesic flows over manifolds without focal points
Dynamical Systems
2020-04-22 v1
Abstract
We prove that for closed rank 1 manifolds without focal points the equilibrium states are unique for H\"older potentials satisfying the pressure gap condition. In addition, we provide a criterion for a continuous potential to satisfy the pressure gap condition. Moreover, we derive several ergodic properties of the unique equilibrium states including the equidistribution and the K-property.
Keywords
Cite
@article{arxiv.1912.07825,
title = {Properties of equilibrium states for geodesic flows over manifolds without focal points},
author = {Dong Chen and Lien-Yung Kao and Kiho Park},
journal= {arXiv preprint arXiv:1912.07825},
year = {2020}
}
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