{
  "id": "1610.07561",
  "version": "v1",
  "published": "2016-10-24T19:25:35.000Z",
  "updated": "2016-10-24T19:25:35.000Z",
  "title": "Asymptotics of the number of standard Young tableaux of skew shape",
  "authors": [
    "Alejandro Morales",
    "Igor Pak",
    "Greta Panova"
  ],
  "comment": "22 pages",
  "categories": [
    "math.CO"
  ],
  "abstract": "We give new bounds and asymptotic estimates on the number of standard Young tableaux of skew shape in a variety of special cases. Our approach is based on Naruse's hook-length formula. We also compare our bounds with the existing bounds on the numbers of linear extensions of the corresponding posets.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2016-10-24T19:25:35.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "standard young tableaux",
      "skew shape",
      "naruses hook-length formula",
      "special cases",
      "asymptotic estimates"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 22,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}