Properties of equilibrium states for geodesic flows without focal points
We prove that for closed rank 1 manifolds without focal points the equilibrium states are unique for Hölder 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.
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|Work Title||Properties of equilibrium states for geodesic flows without focal points|
|License||CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives)|
|Publication Date||March 2021|
|Publisher Identifier (DOI)||
|Deposited||September 09, 2021|
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