
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.
© This manuscript version is made available under the CC-BY-NC-ND 4.0 license https://creativecommons.org/licenses/by-nc-nd/4.0/
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Work Title | Properties of equilibrium states for geodesic flows without focal points |
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License | CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives) |
Work Type | Article |
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Publication Date | March 2021 |
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Deposited | September 09, 2021 |
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