{
  "id": "1511.03322",
  "version": "v1",
  "published": "2015-11-10T22:39:16.000Z",
  "updated": "2015-11-10T22:39:16.000Z",
  "title": "Thermodynamic formalism and Substitutions",
  "authors": [
    "Nicolas Bedaride",
    "Pascal Hubert",
    "Renaud Leplaideur"
  ],
  "comment": "43 pages, 6 figures",
  "categories": [
    "math.DS"
  ],
  "abstract": "We consider the class of marked substitutions. For a substitution in this class we examine the renormalization operator determined by it. Then we study the thermodynamic formalism for potentials in some class, and prove they have a freezing phase transition, with ground state supported on the attracting quasi-crystal associated to the substitution.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-11-10T22:39:16.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "thermodynamic formalism",
      "renormalization operator",
      "freezing phase transition",
      "ground state",
      "marked substitutions"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 43,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}