Kiho Park

activity

20182022

collaborators

Showing 2019Show all

3 papers · 1 filter

math.DS2019

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

Thermodynamic formalism of $G L_{2} (R)$ -cocycles with canonical holonomies

Clark Butler, Kiho Park

We study singular value potentials of Hölder continuous $G L_{2} (R)$ -cocycles over hyperbolic systems whose canonical holonomies converge and are Hölder continuous. Such cocy…

math.DS2019

Quasi-multiplicativity of typical cocycles

Kiho Park

We show that typical (in the sense of Bonatti-Viana) Hölder and fiber-bunched $G L_{d} (R)$ -valued cocycles over a subshift of finite type are uniformly quasi-multiplicative w…

Properties of equilibrium states for geodesic flows over manifolds without focal points

Thermodynamic formalism of GL2​(R)-cocycles with canonical holonomies

Quasi-multiplicativity of typical cocycles

Thermodynamic formalism of $G L_{2} (R)$ -cocycles with canonical holonomies