{
  "id": "math/0606719",
  "version": "v2",
  "published": "2006-06-28T12:59:46.000Z",
  "updated": "2007-11-27T07:55:08.000Z",
  "title": "Scaling limit for trap models on $\\mathbb{Z}^d$",
  "authors": [
    "Gérard Ben Arous",
    "Jiří Černý"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/009117907000000024 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2007, Vol. 35, No. 6, 2356-2384",
  "doi": "10.1214/009117907000000024",
  "categories": [
    "math.PR",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We give the ``quenched'' scaling limit of Bouchaud's trap model in ${d\\ge 2}$. This scaling limit is the fractional-kinetics process, that is the time change of a $d$-dimensional Brownian motion by the inverse of an independent $\\alpha$-stable subordinator.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-11-27T07:55:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60K37",
      "60G52",
      "60F17",
      "82D30"
    ],
    "keywords": [
      "scaling limit",
      "bouchauds trap model",
      "dimensional brownian motion",
      "fractional-kinetics process",
      "time change"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2006math......6719B"
    }
  }
}