{
  "id": "1201.0430",
  "version": "v1",
  "published": "2012-01-02T06:04:26.000Z",
  "updated": "2012-01-02T06:04:26.000Z",
  "title": "Subshifts of finite type which have completely positive entropy",
  "authors": [
    "Christopher Hoffman"
  ],
  "comment": "28 pages",
  "journal": "Discrete and Continuous Dynamical Systems (DCDS-A) Pages: 1497 - 1516, Volume: 29 , Issue: 4 , April 2011",
  "doi": "10.3934/dcds.2011.29.1497",
  "categories": [
    "math.DS"
  ],
  "abstract": "Domino tilings have been studied extensively for both their statistical properties and their dynamical properties. We construct a subshift of finite type using matching rules for several types of dominos. We combine the previous results about domino tilings to show that our subshift of finite type has a measure of maximal entropy with which the subshift has completely positive entropy but is not isomorphic to a Bernoulli shift.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-01-02T06:04:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "finite type",
      "positive entropy",
      "domino tilings",
      "maximal entropy",
      "bernoulli shift"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 28,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}