{
  "id": "math/0204208",
  "version": "v3",
  "published": "2002-04-16T16:44:32.000Z",
  "updated": "2005-03-30T12:41:23.000Z",
  "title": "Hausdorff dimensions for SLE_6",
  "authors": [
    "Vincent Beffara"
  ],
  "comment": "Published at http://dx.doi.org/10.1214/009117904000000072 in the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2004, Vol. 32, No. 3, 2606-2629",
  "doi": "10.1214/009117904000000072",
  "categories": [
    "math.PR",
    "math.CV"
  ],
  "abstract": "We prove that the Hausdorff dimension of the trace of SLE_6 is almost surely 7/4 and give a more direct derivation of the result (due to Lawler-Schramm-Werner) that the dimension of its boundary is 4/3. We also prove that, for all \\kappa<8, the SLE_{\\kappa} trace has cut-points.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2005-03-30T12:41:23.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60D05",
      "60G17",
      "28A80"
    ],
    "keywords": [
      "hausdorff dimension",
      "direct derivation",
      "lawler-schramm-werner"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2002math......4208B"
    }
  }
}