{
  "id": "1404.5738",
  "version": "v1",
  "published": "2014-04-23T08:27:06.000Z",
  "updated": "2014-04-23T08:27:06.000Z",
  "title": "On free energies of the Potts model on the Cayley tree",
  "authors": [
    "U. A. Rozikov",
    "M. M. Rahmatullaev"
  ],
  "comment": "12 pages, 1 figure",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "For the Potts model on the Cayley tree, some explicit formulae of the free energies and entropies (according to vector-valued boundary conditions (BCs)) are obtained. They include translation-invariant, periodic, Dobrushin-like BCs, as well as those corresponding to weakly periodic Gibbs measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-23T08:27:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B26",
      "60K35"
    ],
    "keywords": [
      "cayley tree",
      "potts model",
      "free energies",
      "weakly periodic gibbs measures",
      "explicit formulae"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 12,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.5738R"
    }
  }
}