{
  "id": "2103.07391",
  "version": "v1",
  "published": "2021-03-12T16:33:59.000Z",
  "updated": "2021-03-12T16:33:59.000Z",
  "title": "Gibbs measures of Potts model on Cayley trees: a survey and applications",
  "authors": [
    "U. A. Rozikov"
  ],
  "comment": "49 pages, 13 figures",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we give a systematic review of the theory of Gibbs measures of Potts model on Cayley trees (developed since 2013) and discuss many applications of the Potts model to real world situations: mainly biology, physics, and some examples of alloy behavior, cell sorting, financial engineering, flocking birds, flowing foams, image segmentation, medicine, sociology etc.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-12T16:33:59.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B20",
      "82B26"
    ],
    "keywords": [
      "potts model",
      "cayley trees",
      "gibbs measures",
      "applications",
      "real world situations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 49,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}