{
  "id": "1405.0464",
  "version": "v2",
  "published": "2014-05-02T18:09:21.000Z",
  "updated": "2014-07-31T23:21:13.000Z",
  "title": "Ergodicity of the Airy line ensemble",
  "authors": [
    "Ivan Corwin",
    "Xin Sun"
  ],
  "comment": "argument for Proposition 1.13 is revised, the structure of the introduction is rearranged",
  "journal": "Electron. Commun. Probab. 19(2014), no. 49, 1-11",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper, we establish the ergodicity of the Airy line ensemble. This shows that it is the only candidate for Conjecture 3.2 in [3], regarding the classification of ergodic line ensembles satisfying a certain Brownian Gibbs property after a parabolic shift.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-07-31T23:21:13.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "airy line ensemble",
      "ergodicity",
      "brownian gibbs property",
      "ergodic line ensembles satisfying",
      "parabolic shift"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1405.0464C"
    }
  }
}