{
  "id": "1401.5446",
  "version": "v1",
  "published": "2014-01-21T20:12:52.000Z",
  "updated": "2014-01-21T20:12:52.000Z",
  "title": "Asymptotics of the Tacnode process: a transition between the gap probabilities from the Tacnode to the Airy process",
  "authors": [
    "Manuela Girotti"
  ],
  "comment": "38 pages, 5 figures",
  "categories": [
    "math-ph",
    "math.MP",
    "nlin.SI"
  ],
  "abstract": "We study the gap probabilities of the single-time Tacnode process. Through steepest descent analysis of a suitable Riemann-Hilbert problem, we show that under appropriate scaling regimes the gap probability of the Tacnode process degenerates into a product of two independent gap probabilities of the Airy processes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-01-21T20:12:52.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "gap probability",
      "asymptotics",
      "transition",
      "tacnode process degenerates",
      "steepest descent analysis"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "doi": "10.1088/0951-7715/27/8/1937",
      "journal": "Nonlinearity",
      "year": 2014,
      "month": "Aug",
      "volume": 27,
      "number": 8,
      "pages": 1937
    },
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014Nonli..27.1937G"
    }
  }
}