{
  "id": "1306.6347",
  "version": "v2",
  "published": "2013-06-26T20:16:34.000Z",
  "updated": "2014-01-05T11:37:03.000Z",
  "title": "From Alternating Sign Matrices to the Gaussian Unitary Ensemble",
  "authors": [
    "Vadim Gorin"
  ],
  "comment": "15 pages, 2 figures. v2: minor updates, to appear in Communications in Mathematical Physics",
  "categories": [
    "math.PR",
    "math-ph",
    "math.CO",
    "math.MP"
  ],
  "abstract": "The aim of this note is to prove that fluctuations of uniformly random alternating sign matrices (equivalently, configurations of the six-vertex model with domain wall boundary conditions) near the boundary are described by the Gaussian Unitary Ensemble and the GUE-corners process.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-01-05T11:37:03.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gaussian unitary ensemble",
      "domain wall boundary conditions",
      "uniformly random alternating sign matrices",
      "six-vertex model"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1007/s00220-014-2084-z",
      "journal": "Communications in Mathematical Physics",
      "year": 2014,
      "month": "Nov",
      "volume": 332,
      "number": 1,
      "pages": 437
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014CMaPh.332..437G"
    }
  }
}