Bernoulli equilibrium states for surface diffeomorphisms

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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
Issue number3
StatePublished - Jul 2011

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics
  • Algebra and Number Theory


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