{
  "id": "math/9908177",
  "version": "v3",
  "published": "1999-08-31T20:23:24.000Z",
  "updated": "2000-06-16T19:37:14.000Z",
  "title": "Phase Transitions on Nonamenable Graphs",
  "authors": [
    "Russell Lyons"
  ],
  "journal": "J.Math.Phys. 41 (2000) 1099-1126",
  "doi": "10.1063/1.533179",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We survey known results about phase transitions in various models of statistical physics when the underlying space is a nonamenable graph. Most attention is devoted to transitive graphs and trees.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2000-06-16T19:37:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B26"
    ],
    "keywords": [
      "phase transitions",
      "nonamenable graph",
      "statistical physics",
      "underlying space"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "publisher": "AIP",
      "journal": "J. Math. Phys."
    },
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 506364
    }
  }
}