{
  "id": "math/0306125",
  "version": "v1",
  "published": "2003-06-09T19:25:57.000Z",
  "updated": "2003-06-09T19:25:57.000Z",
  "title": "A simple and unusual bijection for Dyck paths and its consequences",
  "authors": [
    "Sergi Elizalde",
    "Emeric Deutsch"
  ],
  "comment": "13 pages, 8 figures, submitted to Annals of Combinatorics",
  "categories": [
    "math.CO"
  ],
  "abstract": "In this paper we introduce a new bijection from the set of Dyck paths to itself. This bijection has the property that it maps statistics that appeared recently in the study of pattern-avoiding permutations into classical statistics on Dyck paths, whose distribution is easy to obtain. We also present a generalization of the bijection, as well as several applications of it to enumeration problems of statistics in restricted permutations.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2003-06-09T19:25:57.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "05A15",
      "05A05"
    ],
    "keywords": [
      "dyck paths",
      "unusual bijection",
      "consequences",
      "maps statistics",
      "enumeration problems"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......6125E"
    }
  }
}