Exponential mixing implies Bernoulli

Dmitry Dolgopyat, Adam Kanigowski, Federico Rodriguez-Hertz

Published 2021-06-06Version 1

Let $f$ be a $C^{1+\alpha}$ diffeomorphism of a compact manifold $M$ preserving a smooth measure $\mu$. We show that if $f:(M,\mu)\to (M,\mu)$ is exponentially mixing then it is Bernoulli.