{
  "id": "1502.07723",
  "version": "v1",
  "published": "2015-01-12T11:22:11.000Z",
  "updated": "2015-01-12T11:22:11.000Z",
  "title": "Uniqueness of the translation-invariant Gibbs measure for Hard-Core models with four-states on the Cayley tree",
  "authors": [
    "R. M. Khakimov"
  ],
  "comment": "in Russian",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider fertile HC-models with four-states and the parametre activity on a Cayley tree. It is known that three types of such models exist. For each of these models we prove uniqueness of the translation-invarinat Gibbs measure on a Cayley tree of order two.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-01-12T11:22:11.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cayley tree",
      "translation-invariant gibbs measure",
      "hard-core models",
      "uniqueness",
      "four-states"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "ru",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2015arXiv150207723K"
    }
  }
}