Bernoulli equilibrium states for surface diffeomorphisms

Details Bernoulli equilibrium states for surface diffeomorphisms Bernoulli equilibrium states for surface diffeomorphisms

2011-07-19

arxiv.org/abs/1107.3711v1

Mathematics

Dynamical Systems

13 pages

Scientific paper

Suppose f is a $C^{1+\alpha}$ 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.

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