{
  "id": "2007.10676",
  "version": "v1",
  "published": "2020-07-21T09:28:54.000Z",
  "updated": "2020-07-21T09:28:54.000Z",
  "title": "Gradient Gibbs measures for the SOS model with integer spin values on a Cayley tree",
  "authors": [
    "G. I. Botirov",
    "F. H. Haydarov"
  ],
  "comment": "arXiv admin note: substantial text overlap with arXiv:1902.04909",
  "categories": [
    "math-ph",
    "math.MP"
  ],
  "abstract": "In the present paper we continue the investigation from [1] and consider the SOS (solid-on-solid) model on the Cayley tree of order $k \\geq 2$. In the ferromagnetic SOS case on the Cayley tree, we find three solutions to a class of period-4 height-periodic boundary law equations and these boundary laws define up to three periodic gradient Gibbs measures.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-07-21T09:28:54.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "cayley tree",
      "integer spin values",
      "sos model",
      "periodic gradient gibbs measures",
      "height-periodic boundary law equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}