Exponential mixing implies Bernoulli

Abstract

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.

References in corpus (3)

• On the non-equivalence of the Bernoulli and K properties in dimension four
• Bernoulli property for homogeneous systems
• Bernoulli property for certain skew products over hyperbolic systems

Cited by in corpus (1)

• On the continuity of topological entropy of certain partially hyperbolic diffeomorphisms