{
  "id": "1301.6669",
  "version": "v3",
  "published": "2013-01-28T20:51:01.000Z",
  "updated": "2014-10-06T10:04:06.000Z",
  "title": "Convergence in law of the maximum of the two-dimensional discrete Gaussian free field",
  "authors": [
    "Maury Bramson",
    "Jian Ding",
    "Ofer Zeitouni"
  ],
  "comment": "44 pages, 2 figures. Added in revision Theorem 2.5 (alternative description of limit law), various minor corrections, and many explanations and additional details",
  "categories": [
    "math.PR"
  ],
  "abstract": "We consider the two-dimensional Gaussian Free Field on a box of side length $N$, with Dirichlet boundary data, and prove the convergence of the law of the recentered maximum of the field.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-02-14T02:58:36.000Z",
      "comment": "37 pages, 2 figures. Explanations added in a few places",
      "journal": null,
      "doi": null
    },
    {
      "version": "v3",
      "updated": "2014-10-06T10:04:06.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G15",
      "60G60",
      "60G70"
    ],
    "keywords": [
      "two-dimensional discrete gaussian free field",
      "convergence",
      "two-dimensional gaussian free field",
      "dirichlet boundary data",
      "side length"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1301.6669B"
    }
  }
}