{
  "id": "2002.00684",
  "version": "v1",
  "published": "2020-02-03T12:50:12.000Z",
  "updated": "2020-02-03T12:50:12.000Z",
  "title": "Characterization of Brownian Gibbsian line ensembles",
  "authors": [
    "Evgeni Dimitrov",
    "Konstantin Matetski"
  ],
  "comment": "47 pages, 7 figures",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper we show that a Brownian Gibbsian line ensemble is completely characterized by the finite-dimensional marginals of its top curve, i.e. the finite-dimensional sets of the its top curve form a separating class. A particular consequence of our result is that the Airy line ensemble is the unique Brownian Gibbsian line ensemble, whose top curve is the Airy$_2$ process.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-03T12:50:12.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82C22",
      "60J65"
    ],
    "keywords": [
      "characterization",
      "unique brownian gibbsian line ensemble",
      "finite-dimensional marginals",
      "finite-dimensional sets",
      "curve form"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 47,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}