{
  "id": "2211.12128",
  "version": "v1",
  "published": "2022-11-22T09:56:27.000Z",
  "updated": "2022-11-22T09:56:27.000Z",
  "title": "The Potts model on a Cayley tree: the new class of Gibbs measures",
  "authors": [
    "Muzaffar M. Rahmatullaev",
    "Dekhkonov D. Jasur"
  ],
  "comment": "18 pages, in Russian language, 4 figures",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "For the Potts model on Cayley trees, a very wide class of new Gibbs measures is given. We give a review of all known Gibbs measures of the Potts model on trees and compare them with our new measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-22T09:56:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B05",
      "82B20",
      "60K35"
    ],
    "keywords": [
      "potts model",
      "gibbs measures",
      "cayley tree"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "ru",
      "license": "arXiv",
      "status": "editable"
    }
  }
}