{
  "id": "1006.4936",
  "version": "v2",
  "published": "2010-06-25T08:32:53.000Z",
  "updated": "2013-05-27T08:51:46.000Z",
  "title": "SLE curves and natural parametrization",
  "authors": [
    "Gregory F. Lawler",
    "Wang Zhou"
  ],
  "comment": "Published in at http://dx.doi.org/10.1214/12-AOP742 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)",
  "journal": "Annals of Probability 2013, Vol. 41, No. 3A, 1556-1584",
  "doi": "10.1214/12-AOP742",
  "categories": [
    "math.PR",
    "math.CV"
  ],
  "abstract": "Developing the theory of two-sided radial and chordal $\\mathit{SLE}$, we prove that the natural parametrization on $\\mathit{SLE}_{\\kappa}$ curves is well defined for all $\\kappa<8$. Our proof uses a two-interior-point local martingale.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2013-05-27T08:51:46.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "natural parametrization",
      "sle curves",
      "two-interior-point local martingale",
      "two-sided radial"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2010arXiv1006.4936L"
    }
  }
}