{
  "id": "1805.00992",
  "version": "v1",
  "published": "2018-05-02T19:32:26.000Z",
  "updated": "2018-05-02T19:32:26.000Z",
  "title": "Asymptotics for the number of standard tableaux of skew shape and for weighted lozenge tilings",
  "authors": [
    "Alejandro Morales",
    "Igor Pak",
    "Martin Tassy"
  ],
  "categories": [
    "math.CO"
  ],
  "abstract": "We prove and generalize a conjecture in arXiv:1610.0474(4) about the asymptotics of $\\frac{1}{\\sqrt{n!}} f^{\\lambda/\\mu}$, where $f^{\\lambda/\\mu}$ is the number of standard Young tableaux of skew shape $\\lambda/\\mu$ which have stable limit shape under the $1/\\sqrt{n}$ scaling. The proof is based on the variational principle on the partition function of certain weighted lozenge tilings.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-05-02T19:32:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "weighted lozenge tilings",
      "skew shape",
      "standard tableaux",
      "asymptotics",
      "standard young tableaux"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}