{
  "id": "1812.02077",
  "version": "v1",
  "published": "2018-12-05T16:15:23.000Z",
  "updated": "2018-12-05T16:15:23.000Z",
  "title": "Ergodicity via continuity",
  "authors": [
    "Ivan Podvigin"
  ],
  "categories": [
    "math.DS"
  ],
  "abstract": "We show that the ergodicity of an aperiodic automorphism of a Lebesgue space is equivalent to the continuity of a certain map on a metric Boolean algebra. A related characterization is also presented for periodic and totally ergodic transformations",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-12-05T16:15:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "37A25",
      "28D05",
      "54C05"
    ],
    "keywords": [
      "ergodicity",
      "continuity",
      "metric boolean algebra",
      "lebesgue space",
      "totally ergodic transformations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}