{
  "id": "2211.06242",
  "version": "v1",
  "published": "2022-11-11T14:33:56.000Z",
  "updated": "2022-11-11T14:33:56.000Z",
  "title": "The spherical Minkowski content and natural parametrization on the sphere for the Schramm-Loewner evolution",
  "authors": [
    "Tianyu Wei",
    "Wanyang Dai"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Studying SLE$_{\\kappa}$ on $S^2$ provides a new and interesting perspective for the conformality of some 2-dimensional physical models. We prove the existence and some basic properties of the spherical Minkowski content of SLE$_{\\kappa}$, which is finite and can be viewed as the natural parametrization of SLE$_{\\kappa}$ on $S^2$.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2022-11-11T14:33:56.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spherical minkowski content",
      "natural parametrization",
      "schramm-loewner evolution",
      "basic properties",
      "studying sle"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}