{
  "id": "1701.08639",
  "version": "v1",
  "published": "2017-01-30T15:15:01.000Z",
  "updated": "2017-01-30T15:15:01.000Z",
  "title": "Annealed limit theorems for the ising model on random regular graphs",
  "authors": [
    "Van Hao Can"
  ],
  "comment": "30 pages",
  "categories": [
    "math.PR",
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In a recent paper [15], Giardin{\\`a}, Giberti, Hofstad, Prioriello have proved a law of large number and a central limit theorem with respect to the annealed measure for the magnetization of the Ising model on some random graphs including the random 2-regular graph. We present a new proof of their results, which applies to all random regular graphs. In addition, we prove the existence of annealed pressure in the case of configuration model random graphs.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-01-30T15:15:01.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "random regular graphs",
      "annealed limit theorems",
      "ising model",
      "configuration model random graphs",
      "central limit theorem"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 30,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}