{
  "id": "1406.0473",
  "version": "v1",
  "published": "2014-05-15T16:54:02.000Z",
  "updated": "2014-05-15T16:54:02.000Z",
  "title": "Translation-invariant Gibbs measures for the fertile HC-models with three states on a Cayley tree",
  "authors": [
    "Rustam Khakimov"
  ],
  "comment": "in Russian",
  "categories": [
    "math-ph",
    "math.FA",
    "math.MP"
  ],
  "abstract": "We consider fertile HC-models with three states on a Cayley tree. It is known that four types of such models exist. For these models we describe the translation-invarinat Gibbs measures on a Cayley tree of order three.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-05-15T16:54:02.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cayley tree",
      "translation-invariant gibbs measures",
      "fertile hc-models",
      "translation-invarinat gibbs measures"
    ],
    "publication": {
      "doi": "10.1007/s11232-015-0299-6",
      "journal": "Theoretical and Mathematical Physics",
      "year": 2015,
      "month": "Jun",
      "volume": 183,
      "number": 3,
      "pages": 829
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "ru",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015TMP...183..829K"
    }
  }
}