{
  "id": "1908.02930",
  "version": "v1",
  "published": "2019-08-08T04:51:52.000Z",
  "updated": "2019-08-08T04:51:52.000Z",
  "title": "Characteristic measures of symbolic dynamical systems",
  "authors": [
    "Joshua Frisch",
    "Omer Tamuz"
  ],
  "comment": "6 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "A probability measure is a characteristic measure of a topological dynamical system if it is invariant to the automorphism group of the system. We show that zero entropy shifts always admit characteristic measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-08-08T04:51:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "symbolic dynamical systems",
      "zero entropy shifts",
      "admit characteristic measures",
      "automorphism group",
      "probability measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}