{
  "id": "2011.07259",
  "version": "v1",
  "published": "2020-11-14T10:30:23.000Z",
  "updated": "2020-11-14T10:30:23.000Z",
  "title": "Equilibrium measures of the natural extension of beta-shifts",
  "authors": [
    "C. -E. Pfister",
    "W. G. Sullivan"
  ],
  "comment": "16 pages",
  "categories": [
    "math.DS"
  ],
  "abstract": "We give a necessary and sufficient condition on beta of the natural extension of a beta-shift, so that any equilibrium measure for a function of bounded total oscillations is a weak Gibbs measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-14T10:30:23.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "natural extension",
      "equilibrium measure",
      "beta-shift",
      "weak gibbs measure",
      "sufficient condition"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 16,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}