Exponentially mixing SRB measures are Bernoulli

Abstract

We prove two results for $C^{1+\alpha }$ diffeomorphisms of a compact manifold preserving an SRB measure $\mu$. First, if $\mu$ is exponentially mixing, then it is Bernoulli. Second, if $\mu$ is obtained as an exponential volume limit, then it is also Bernoulli.

51 pages