{
  "id": "0901.4138",
  "version": "v2",
  "published": "2009-01-26T23:09:58.000Z",
  "updated": "2012-08-25T01:46:07.000Z",
  "title": "On the Limiting Shape of Young Tableaux Associated With Inhomogeneous Random Words",
  "authors": [
    "Christian Houdré",
    "Hua Xu"
  ],
  "comment": "To Appear in HDP VI",
  "categories": [
    "math.PR",
    "math.CO"
  ],
  "abstract": "The limiting shape of the random Young diagrams associated with an inhomogeneous random word is identi?ed as a multidimensional Brownian functional. This functional is identical in law to the spectrum of a random matrix. The Poissonized word problem is also briefy studied, and the asymptotic behavior of the shape analyzed.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2012-08-25T01:46:07.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60C05",
      "60F05",
      "60F17",
      "60G22",
      "05A19",
      "15B52"
    ],
    "keywords": [
      "inhomogeneous random word",
      "young tableaux",
      "limiting shape",
      "multidimensional brownian functional",
      "asymptotic behavior"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0901.4138H"
    }
  }
}