{
  "id": "cond-mat/0405100",
  "version": "v2",
  "published": "2004-05-06T05:14:20.000Z",
  "updated": "2004-05-07T00:30:24.000Z",
  "title": "Multifractal Measures on Small-World Networks",
  "authors": [
    "Kyungsik Kim",
    "K. H. Chang",
    "S. M. Yoon",
    "C. Christopher Lee",
    "J. S. Choi"
  ],
  "comment": "13 pages, 4 figures",
  "categories": [
    "cond-mat.stat-mech"
  ],
  "abstract": "We investigate the multifractals of the normalized first passage time on one-dimensional small-world network with both reflecting and absorbing barriers. The multifractals is estimated from the distribution of the normalized first passage time charactrized by the random walk on the small-world network with three fractions of edges rewired randomly. Particularly, our estimate is the fractal dimension D_0 = 0.917, 0.926, 0.930 for lattice points L = 80 and a randomly rewired fraction p = 0.2. The numerical result is found to disappear multifractal properties in the regime p> p_c, where p_c is the critical rewired fraction.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2004-05-07T00:30:24.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "multifractal measures",
      "rewired fraction",
      "one-dimensional small-world network",
      "disappear multifractal properties",
      "normalized first passage time"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}