{
  "id": "math/0304501",
  "version": "v2",
  "published": "2003-04-30T15:19:59.000Z",
  "updated": "2003-08-08T01:22:21.000Z",
  "title": "Continuity of the Ito-Map for Hoelder rough paths with applications to the support theorem in Hoelder norm",
  "authors": [
    "Peter K. Friz"
  ],
  "categories": [
    "math.PR"
  ],
  "abstract": "Lyons' Rough Path theory is currently formulated in p-variation topology. We extend his main-result, the Universal Limit Theorem, to a stronger Hoelder topology. Several approximations to Brownian Rough Paths are studied. As application of our approach, we obtain the celebrated support theorem (in Hoelder-topology) as immediate (!) corollary.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2003-08-08T01:22:21.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "60H99"
    ],
    "keywords": [
      "hoelder rough paths",
      "hoelder norm",
      "application",
      "continuity",
      "rough path theory"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2003math......4501F"
    }
  }
}