{
  "id": "1706.05949",
  "version": "v1",
  "published": "2017-06-15T19:08:44.000Z",
  "updated": "2017-06-15T19:08:44.000Z",
  "title": "New weakly periodic Gibbs measures for HC model on a Cayley tree of order two",
  "authors": [
    "R. M. Khakimov",
    "G. T. Madgoziyev"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we study two state HC-model on a Cayley tree. Under some conditions on parameters of the HC-model, in the case of normal divisor of the index four, we prove the existence of the weakly periodic (non periodic) Gibbs measures which are different from the known weakly periodic measures",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-06-15T19:08:44.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weakly periodic gibbs measures",
      "cayley tree",
      "hc model",
      "normal divisor",
      "state hc-model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}