{
  "id": "1610.04755",
  "version": "v1",
  "published": "2016-10-15T16:23:18.000Z",
  "updated": "2016-10-15T16:23:18.000Z",
  "title": "An extremality of the translation-invariant Gibbs measure for the HC-model on a Cayley tree",
  "authors": [
    "U. A. Rozikov",
    "R. M. Khakimov"
  ],
  "comment": "in Russian",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we study the extremality of translation-invariant Gibbs measure for the HC-model on a Cayley tree. It is known that for this model the translation-invariant measure is unique. We give a new proof of this statement and found regions of the extremality of this measure on the Cayley tree of order k.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-15T16:23:18.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "translation-invariant gibbs measure",
      "cayley tree",
      "extremality",
      "translation-invariant measure"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}