{
  "id": "0812.1256",
  "version": "v2",
  "published": "2008-12-06T03:08:46.000Z",
  "updated": "2010-11-02T16:06:55.000Z",
  "title": "q-analog of tableau containment",
  "authors": [
    "Jang Soo Kim"
  ],
  "comment": "20 pages, to appear J. Combin. Theory. Ser. A",
  "journal": "J. Combin. Theory Ser. A 118 (2011) 1021-1038",
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove a $q$-analog of the following result due to McKay, Morse and Wilf: the probability that a random standard Young tableau of size $n$ contains a fixed standard Young tableau of shape $\\lambda\\vdash k$ tends to $f^{\\lambda}/k!$ in the large $n$ limit, where $f^{\\lambda}$ is the number of standard Young tableaux of shape $\\lambda$. We also consider the probability that a random pair $(P,Q)$ of standard Young tableaux of the same shape contains a fixed pair $(A,B)$ of standard Young tableaux.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2010-11-02T16:06:55.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05A30"
    ],
    "keywords": [
      "standard young tableaux",
      "tableau containment",
      "random standard young tableau",
      "fixed standard young tableau",
      "probability"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 20,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0812.1256K"
    }
  }
}