{
  "id": "1910.11772",
  "version": "v1",
  "published": "2019-10-24T09:05:03.000Z",
  "updated": "2019-10-24T09:05:03.000Z",
  "title": "Conditions of the uniqueness and non-uniqueness of weakly periodic Gibbs measures for Hard-Core model",
  "authors": [
    "R. M. Khakimov",
    "M. T. Makhammadaliyev"
  ],
  "comment": "in Russian",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we study Hard-Core model on a Cayley tree. For a normal divisor of index four new conditions for uniqueness and non-uniqueness of weakly periodic Gibbs measures are found.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-24T09:05:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weakly periodic gibbs measures",
      "conditions",
      "non-uniqueness",
      "study hard-core model",
      "cayley tree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}