{
  "id": "2005.14397",
  "version": "v1",
  "published": "2020-05-29T05:37:30.000Z",
  "updated": "2020-05-29T05:37:30.000Z",
  "title": "Poisson limit of bumping routes in the Robinson-Schensted correspondence",
  "authors": [
    "Łukasz Maślanka",
    "Mikołaj Marciniak",
    "Piotr Śniady"
  ],
  "comment": "44 pages",
  "categories": [
    "math.CO",
    "math.PR"
  ],
  "abstract": "We consider the Robinson-Schensted-Knuth algorithm applied to a random input and investigate the shape of the bumping route (in the vicinity of the $y$-axis) when a specified number is inserted into a large Plancherel-distributed tableau. We show that after a projective change of the coordinate system the bumping route converges in distribution to the Poisson process.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-05-29T05:37:30.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05",
      "05E10",
      "60F05",
      "60K35"
    ],
    "keywords": [
      "poisson limit",
      "robinson-schensted correspondence",
      "random input",
      "robinson-schensted-knuth algorithm",
      "large plancherel-distributed tableau"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 44,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}