3 citations · 3 across the 1 of their papers we have counts for
4 papers
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…
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…
Unique equilibrium states for geodesic flows over surfaces without focal points
Dong Chen, Lien-Yung Kao, Kiho Park
In this paper, we study dynamics of geodesic flows over closed surfaces of genus greater than or equal to 2 without focal points. Especially, we prove that there is a large class o…
Manhattan Curves for Hyperbolic Surfaces with Cusps
Lien-Yung Kao
In this paper, we study an interesting curve, so-called the Manhattan curve, associated with a pair of boundary-preserving Fuchsian representations of a (non-compact) surface, espe…