{
  "id": "1404.3915",
  "version": "v1",
  "published": "2014-04-15T14:02:56.000Z",
  "updated": "2014-04-15T14:02:56.000Z",
  "title": "TASEP and Planar Binary Trees: A Combinatorial Approach",
  "authors": [
    "Xiangyu Cao"
  ],
  "comment": "8 pages",
  "categories": [
    "math.CO",
    "cond-mat.stat-mech"
  ],
  "abstract": "We give a simple explanation why the stationary state of the 1D TASEP model with open boundaries is related to the Catalan numbers. Our construction is based on planar binary trees and provides a combinatorial solution of the stationary state. We discuss the relation to Catalan tableaux approaches in an appendix.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2014-04-15T14:02:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "planar binary trees",
      "combinatorial approach",
      "stationary state",
      "1d tasep model",
      "catalan tableaux approaches"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 8,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1404.3915C"
    }
  }
}