Bernoulli equilibrium states for surface diffeomorphisms
Dynamical Systems
2011-07-20 v1
Abstract
Suppose f is a surface diffeomorphism, and m is an equilibrium measure of a Holder continuous potential. We show that if m has positive metric entropy, then f is measure theoretically isomorphic to the product of a Bernoulli scheme and a finite rotation.
Cite
@article{arxiv.1107.3711,
title = {Bernoulli equilibrium states for surface diffeomorphisms},
author = {Omri Sarig},
journal= {arXiv preprint arXiv:1107.3711},
year = {2011}
}
Comments
13 pages