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/

Files

Metadata

Work Title Properties of equilibrium states for geodesic flows without focal points
Access
Open Access
Creators
  1. Dong Chen
  2. Lien-Yung Kao
  3. Kiho Park
License CC BY-NC-ND 4.0 (Attribution-NonCommercial-NoDerivatives)
Work Type Article
Publisher
  1. Elsevier BV
Publication Date March 2021
Publisher Identifier (DOI)
  1. 10.1016/j.aim.2021.107564
Source
  1. Advances in Mathematics
Deposited September 09, 2021

Versions

Analytics

Collections

This resource is currently not in any collection.

Work History

Version 1
published

  • Created
  • Added 1912.07825-1.pdf
  • Added Creator Dong Chen
  • Added Creator Lien-Yung Kao
  • Added Creator Kiho Park
  • Published
  • Updated
  • Updated
  • Updated