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math.DS2019★ 20 cited
Properties of equilibrium states for geodesic flows over manifolds without focal points
Dong Chen, Lien-Yung Kao, Kiho Park
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 provid…
math.DS2019★ 3 cited
Pressure metrics and Manhattan curves for Teichmüller spaces of punctured surfaces
Lien-Yung Kao
In this paper, we extend the construction of pressure metrics to Teichmüller spaces of surfaces with punctures. This construction recovers Thurston's Riemannian metric on Teichmüll…