{
  "id": "0804.1002",
  "version": "v1",
  "published": "2008-04-07T09:53:27.000Z",
  "updated": "2008-04-07T09:53:27.000Z",
  "title": "Numerical studies of planar closed random walks",
  "authors": [
    "Jean Desbois",
    "Stephane Ouvry"
  ],
  "comment": "15 pages, 15 figures",
  "doi": "10.1088/1742-5468/2008/08/P08004",
  "categories": [
    "cond-mat.stat-mech",
    "math-ph",
    "math.MP"
  ],
  "abstract": "Lattice numerical simulations for planar closed random walks and their winding sectors are presented. The frontiers of the random walks and of their winding sectors have a Hausdorff dimension $d_H=4/3$. However, when properly defined by taking into account the inner 0-winding sectors, the frontiers of the random walks have a Hausdorff dimension $d_H\\approx 1.77$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-04-07T09:53:27.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "planar closed random walks",
      "numerical studies",
      "hausdorff dimension",
      "winding sectors",
      "lattice numerical simulations"
    ],
    "tags": [
      "journal article"
    ],
    "publication": {
      "journal": "Journal of Statistical Mechanics: Theory and Experiment",
      "year": 2008,
      "month": "Aug",
      "volume": 2008,
      "number": 8,
      "pages": 8004
    },
    "note": {
      "typesetting": "TeX",
      "pages": 15,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008JSMTE..08..004D"
    }
  }
}