{
  "id": "0906.1486",
  "version": "v1",
  "published": "2009-06-08T15:55:26.000Z",
  "updated": "2009-06-08T15:55:26.000Z",
  "title": "Hausdorff dimension and hierarchical system dynamics",
  "authors": [
    "K. Lukierska-Walasek",
    "K. Topolski"
  ],
  "comment": "7 pages",
  "categories": [
    "cond-mat.stat-mech",
    "cond-mat.dis-nn"
  ],
  "abstract": "We show that Hausdorff dimension may be used to distinguish different dynamics of therelaxation in hierarchical systems. We examine the hierarchical systems following the temperature-dependent power-law decay and the Kohlrausch law. For our purposes, we consider a L\\'evy stochastic processes on p-adic integer numbers.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-06-08T15:55:26.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "hierarchical system dynamics",
      "hausdorff dimension",
      "temperature-dependent power-law decay",
      "levy stochastic processes",
      "p-adic integer numbers"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 7,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0906.1486L"
    }
  }
}