{
  "id": "1504.00048",
  "version": "v1",
  "published": "2015-03-31T21:33:26.000Z",
  "updated": "2015-03-31T21:33:26.000Z",
  "title": "Ergodic properties of equilibrium measures for smooth three dimensional flows",
  "authors": [
    "François Ledrappier",
    "Yuri Lima",
    "Omri Sarig"
  ],
  "comment": "29 pages, 1 figure",
  "categories": [
    "math.DS",
    "math.DG"
  ],
  "abstract": "Let $\\{T^t\\}$ be a smooth flow with positive speed and positive topological entropy on a compact smooth three dimensional manifold, and let $\\mu$ be an ergodic measure of maximal entropy. We show that either $\\{T^t\\}$ is Bernoulli, or $\\{T^t\\}$ is isomorphic to the product of a Bernoulli flow and a rotational flow. Applications are given to Reeb flows.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-03-31T21:33:26.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37B10",
      "37C10",
      "37C35"
    ],
    "keywords": [
      "equilibrium measures",
      "dimensional flows",
      "ergodic properties",
      "rotational flow",
      "bernoulli flow"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 29,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}