8 papers
Construction and applications of proximal maps for typical cocycles
Kiho Park
For typical cocycles over subshifts of finite type, we show that for any given orbit segment, we can construct a periodic orbit such that it shadows the given orbit segment and tha…
Multifractal analysis of geodesic flows on surfaces without focal points
Kiho Park, Tianyu Wang
We study multifractal spectra of the geodesic flows on rank 1 surfaces without focal points. We compute the entropy of the level sets for the Lyapunov exponents and estimate its Ha…
Transfer operators and limit laws for typical cocycles
Kiho Park, Mark Piraino
We show that typical cocycles (in the sense of Bonatti and Viana) over irreducible subshifts of finite type obey several limit laws with respect to the unique equilibrium states fo…
The K-Property for Subadditive Equilibrium States
Benjamin Call, Kiho Park
By generalizing Ledrappier's criterion for the -property of equilibrium states, we extend the criterion to subadditive potentials. We apply this result to the singular value pot…
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…
Thermodynamic formalism of -cocycles with canonical holonomies
Clark Butler, Kiho Park
We study singular value potentials of Hölder continuous -cocycles over hyperbolic systems whose canonical holonomies converge and are Hölder continuous. Such cocy…