{
  "id": "math/0211322",
  "version": "v3",
  "published": "2002-11-20T16:07:53.000Z",
  "updated": "2008-08-27T07:00:38.000Z",
  "title": "The dimension of the SLE curves",
  "authors": [
    "Vincent Beffara"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/07-AOP364 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2008, Vol. 36, No. 4, 1421-1452",
  "doi": "10.1214/07-AOP364",
  "categories": [
    "math.PR",
    "math.CV"
  ],
  "abstract": "Let $\\gamma$ be the curve generating a Schramm--Loewner Evolution (SLE) process, with parameter $\\kappa\\geq0$. We prove that, with probability one, the Hausdorff dimension of $\\gamma$ is equal to $\\operatorname {Min}(2,1+\\kappa/8)$.",
  "revisions": [
    {
      "version": "v3",
      "updated": "2008-08-27T07:00:38.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60D05",
      "60G17",
      "28A80"
    ],
    "keywords": [
      "sle curves",
      "schramm-loewner evolution",
      "hausdorff dimension"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 873871,
      "adsabs": "2002math.....11322B"
    }
  }
}