{
  "id": "cond-mat/0209512",
  "version": "v2",
  "published": "2002-09-23T04:10:58.000Z",
  "updated": "2003-03-14T02:32:04.000Z",
  "title": "Vicious Walkers and Hook Young Tableaux",
  "authors": [
    "Kazuhiro Hikami",
    "Takashi Imamura"
  ],
  "comment": "23 pages, 5 figures",
  "journal": "J. Phys. A: Math. Gen. 36, 3033--3048 (2003)",
  "doi": "10.1088/0305-4470/36/12/311",
  "categories": [
    "cond-mat.stat-mech",
    "math.PR",
    "nlin.SI"
  ],
  "abstract": "We consider a generalization of the vicious walker model. Using a bijection map between the path configuration of the non-intersecting random walkers and the hook Young diagram, we compute the probability concerning the number of walker's movements. Applying the saddle point method, we reveal that the scaling limit gives the Tracy--Widom distribution, which is same with the limit distribution of the largest eigenvalues of the Gaussian unitary ensemble.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-03-14T02:32:04.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hook young tableaux",
      "hook young diagram",
      "saddle point method",
      "path configuration",
      "non-intersecting random walkers"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Physics A Mathematical General",
      "year": 2003,
      "month": "Mar",
      "volume": 36,
      "number": 12,
      "pages": 3033
    },
    "note": {
      "typesetting": "TeX",
      "pages": 23,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003JPhA...36.3033H"
    }
  }
}