{
  "id": "0801.0146",
  "version": "v2",
  "published": "2007-12-30T17:20:41.000Z",
  "updated": "2008-05-03T09:57:51.000Z",
  "title": "Some recent advances in theory and simulation of fractional diffusion processes",
  "authors": [
    "Rudolf Gorenflo",
    "Francesco Mainardi"
  ],
  "comment": "33 pages, 3 Figures, 5 eps files. Second International Workshop on Analysis and Numerical Approximation of Singular Problems (IWANASP 2006), 6-8 September 2006, Aegean University in Karlovassi, Samos, Greece",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP",
    "nlin.CD"
  ],
  "abstract": "To offer a view into the rapidly developing theory of fractional diffusion processes we describe in some detail three topics of present interest: (i) the well-scaled passage to the limit from continuous time random walk under power law assumptions to space-time fractional diffusion, (ii) the asymptotic universality of the Mittag-Leffler waiting time law in time-fractional processes, (iii) our method of parametric subordination for generating particle trajectories.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2008-05-03T09:57:51.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "26A33",
      "45K05",
      "47G30",
      "60G18",
      "60G50",
      "60G51",
      "60J60"
    ],
    "keywords": [
      "fractional diffusion processes",
      "simulation",
      "space-time fractional diffusion",
      "continuous time random walk",
      "mittag-leffler waiting time law"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 33,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0801.0146G"
    }
  }
}