{
  "id": "math/0211457",
  "version": "v1",
  "published": "2002-11-29T11:31:44.000Z",
  "updated": "2002-11-29T11:31:44.000Z",
  "title": "Projection of Markov measures may be Gibbsian",
  "authors": [
    "J. -R. Chazottes",
    "E. Ugalde"
  ],
  "comment": "4 latex figures",
  "categories": [
    "math.DS",
    "math.PR"
  ],
  "abstract": "We study the induced measure obtained from a 1-step Markov measure, supported by a topological Markov chain, after the mapping of the original alphabet onto another one. We give sufficient conditions for the induced measure to be a Gibbs measure (in the sense of Bowen) when the factor system is again a topological Markov chain. This amounts to constructing, when it does exist, the induced potential and proving its Holder continuity. This is achieved through a matrix method. We provide examples and counterexamples to illustrate our results.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-11-29T11:31:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "markov measure",
      "topological markov chain",
      "projection",
      "induced measure",
      "matrix method"
    ],
    "note": {
      "typesetting": "LaTeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math.....11457C"
    }
  }
}