{
  "id": "math/0412041",
  "version": "v1",
  "published": "2004-12-02T06:02:47.000Z",
  "updated": "2004-12-02T06:02:47.000Z",
  "title": "A Simple Proof of the Aztec Diamond Theorem",
  "authors": [
    "Sen-Peng Eu",
    "Tung-Shan Fu"
  ],
  "comment": "8 pages, 4 figures",
  "categories": [
    "math.CO"
  ],
  "abstract": "Based on a bijection between domino tilings of an Aztec diamond and non-intersecting lattice paths, a simple proof of the Aztec diamond theorem is given in terms of Hankel determinants of the large and small Schr\\\"oder numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2004-12-02T06:02:47.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15"
    ],
    "keywords": [
      "aztec diamond theorem",
      "simple proof",
      "domino tilings",
      "non-intersecting lattice paths",
      "hankel determinants"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2004math.....12041E"
    }
  }
}