{
  "id": "2002.08496",
  "version": "v1",
  "published": "2020-02-19T23:21:01.000Z",
  "updated": "2020-02-19T23:21:01.000Z",
  "title": "Brownian absolute continuity of the KPZ fixed point with arbitrary initial condition",
  "authors": [
    "Sourav Sarkar",
    "Bálint Virág"
  ],
  "comment": "17 pages",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We show that the law of the KPZ fixed point starting from arbitrary initial condition is absolutely continuous with respect to the law of Brownian motion $B$ on every compact interval. In particular, the Airy$_1$ process is absolutely continuous with respect to $B$ on any compact interval",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-02-19T23:21:01.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "82B23",
      "82C22",
      "60H15"
    ],
    "keywords": [
      "arbitrary initial condition",
      "brownian absolute continuity",
      "compact interval",
      "brownian motion",
      "absolutely continuous"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 17,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}