Bernoulli equilibrium states for surface diffeomorphisms

Research output: Contribution to journalArticlepeer-review

Abstract

Suppose f: M → M is a C1+α (α > 0) diffeomorphism on a compact smooth orientable manifold M of dimension 2, and let μψ be an equilibrium measure for a Hölder-continuous potential ψ: M → ℝ. We show that if μψ has positive measure-theoretic entropy, then f is measure-theoretically isomorphic mod μψ to the product of a Bernoulli scheme and a finite rotation.

Original languageEnglish
Pages (from-to)525-540
Number of pages16
JournalJournal of Modern Dynamics
Volume5
Issue number3
DOIs
StatePublished - Jul 2011

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics
  • Algebra and Number Theory

Fingerprint

Dive into the research topics of 'Bernoulli equilibrium states for surface diffeomorphisms'. Together they form a unique fingerprint.

Cite this