English

Exponential mixing implies Bernoulli

Dynamical Systems 2021-06-08 v1

Abstract

Let ff be a C1+αC^{1+\alpha} diffeomorphism of a compact manifold MM preserving a smooth measure μ\mu. We show that if f:(M,μ)(M,μ)f:(M,\mu)\to (M,\mu) is exponentially mixing then it is Bernoulli.

Keywords

Cite

@article{arxiv.2106.03147,
  title  = {Exponential mixing implies Bernoulli},
  author = {Dmitry Dolgopyat and Adam Kanigowski and Federico Rodriguez-Hertz},
  journal= {arXiv preprint arXiv:2106.03147},
  year   = {2021}
}
R2 v1 2026-06-24T02:53:02.909Z