{
  "id": "2104.00973",
  "version": "v1",
  "published": "2021-04-02T10:25:19.000Z",
  "updated": "2021-04-02T10:25:19.000Z",
  "title": "Extremality of translation-invariant Gibbs measures for the Potts-SOS model on the Cayley tree",
  "authors": [
    "M. M. Rahmatullaev",
    "M. A. Rasulova"
  ],
  "categories": [
    "math-ph",
    "math.MP",
    "math.PR"
  ],
  "abstract": "In this paper, we consider the Potts-SOS model where the spin takes values in the set $\\{0, 1, 2\\}$ on the Cayley tree of order two. We describe all the translation-invariant splitting Gibbs measures for this model in some conditions. Moreover, we investigate whether these Gibbs measures are extremal or non-extremal in the set of all Gibbs measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-04-02T10:25:19.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "translation-invariant gibbs measures",
      "potts-sos model",
      "cayley tree",
      "extremality",
      "translation-invariant splitting gibbs measures"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}