{
  "id": "1610.09466",
  "version": "v1",
  "published": "2016-10-29T07:06:38.000Z",
  "updated": "2016-10-29T07:06:38.000Z",
  "title": "The Dynamics of The Potts-Bethe Mapping over $\\mathbb{Q}_p:$ The Case $p\\equiv 2 \\ (mod \\ 3) $",
  "authors": [
    "Mansoor Saburov",
    "Mohd Ali Khameini Ahmad"
  ],
  "comment": "15 pages",
  "categories": [
    "math.DS",
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "In this paper, we study the dynamics of the Potts-Bethe mapping associated with the $p-$adic $q-$state Potts model over the Cayley tree of order three. Namely, we establish the regularity of the Potts-Bethe mapping for the case $p\\equiv 2 \\ (mod \\ 3)$ with $p\\geq5$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-29T07:06:38.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "potts-bethe mapping",
      "state potts model",
      "cayley tree",
      "regularity"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}