{
  "id": "2106.03147",
  "version": "v1",
  "published": "2021-06-06T14:58:59.000Z",
  "updated": "2021-06-06T14:58:59.000Z",
  "title": "Exponential mixing implies Bernoulli",
  "authors": [
    "Dmitry Dolgopyat",
    "Adam Kanigowski",
    "Federico Rodriguez-Hertz"
  ],
  "categories": [
    "math.DS"
  ],
  "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.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-06-06T14:58:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A25",
      "37D25",
      "37C40"
    ],
    "keywords": [
      "exponential mixing implies bernoulli",
      "compact manifold",
      "smooth measure",
      "diffeomorphism"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}