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

Dong Chen, Lien Yung Kao, Kiho Park

Research output: Contribution to journalArticlepeer-review

Abstract

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.

Original languageEnglish (US)
Article number107564
JournalAdvances in Mathematics
Volume380
DOIs
StatePublished - Mar 26 2021

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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