{ "id": "1411.5189", "version": "v1", "published": "2014-11-19T11:43:08.000Z", "updated": "2014-11-19T11:43:08.000Z", "title": "Tail estimates for Markovian rough paths", "authors": [ "Thomas Cass", "Marcel Ogrodnik" ], "categories": [ "math.PR" ], "abstract": "We work in the context of Markovian rough paths associated to a class of uniformly subelliptic Dirichlet forms [25] and prove an almost-Gaussian tail-estimate for the accummulated local p-variation functional, which has been introduced and studied in [17]. We comment on the significance of these estimates to a range of currently-studied problems, including the recent results of Chevyrev and Lyons in [18].", "revisions": [ { "version": "v1", "updated": "2014-11-19T11:43:08.000Z" } ], "analyses": { "keywords": [ "tail estimates", "accummulated local p-variation functional", "uniformly subelliptic dirichlet forms", "almost-gaussian tail-estimate", "markovian rough paths" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2014arXiv1411.5189C" } } }