{
  "id": "1310.5175",
  "version": "v1",
  "published": "2013-10-18T22:16:10.000Z",
  "updated": "2013-10-18T22:16:10.000Z",
  "title": "On level sets of Gaussian fields",
  "authors": [
    "Sourav Chatterjee",
    "Amir Dembo",
    "Jian Ding"
  ],
  "comment": "6 pages",
  "categories": [
    "math.PR"
  ],
  "abstract": "In this short note, we present a theorem concerning certain \"additive structure\" for the level sets of non-degenerate Gaussian fields, which yields the multiple valley phenomenon for extremal fields with exponentially many valleys.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-10-18T22:16:10.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60G15",
      "60G70"
    ],
    "keywords": [
      "level sets",
      "multiple valley phenomenon",
      "non-degenerate gaussian fields",
      "extremal fields",
      "short note"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 6,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1310.5175C"
    }
  }
}