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 language | English |
|---|---|
| Pages (from-to) | 525-540 |
| Number of pages | 16 |
| Journal | Journal of Modern Dynamics |
| Volume | 5 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jul 2011 |
All Science Journal Classification (ASJC) codes
- Analysis
- Algebra and Number Theory
- Applied Mathematics
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