{
  "id": "1601.02558",
  "version": "v1",
  "published": "2015-12-13T10:16:40.000Z",
  "updated": "2015-12-13T10:16:40.000Z",
  "title": "Translation-invariant and weakly periodic Gibbs measures for HC-models on a Cayley tree",
  "authors": [
    "Rustam Khakimov"
  ],
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper is studied HC-models on a Cayley tree. two states HC-model on a Cayley tree and Under some conditions on parameters of the two state HC-model we prove existence exactly two of the weakly periodic (non periodic) Gibbs measures. Furthermore, it considered translation-invariant Gibbs measures for fertile four state HC-models and for one of them it proved the non-uniqueness of the translation-invariant Gibbs measure.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2015-12-13T10:16:40.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weakly periodic gibbs measures",
      "cayley tree",
      "translation-invariant gibbs measure",
      "state hc-model",
      "states hc-model"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}