{ "id": "1102.4601", "version": "v1", "published": "2011-02-22T20:28:00.000Z", "updated": "2011-02-22T20:28:00.000Z", "title": "Gradient Bounds for Solutions of Stochastic Differential Equations Driven by Fractional Brownian Motions", "authors": [ "Fabrice Baudoin", "Cheng Ouyang" ], "comment": "The paper is dedicated to Pr. David Nualart 60th's birthday", "categories": [ "math.PR" ], "abstract": "We study some functional inequalities satisfied by the distribution of the solution of a stochastic differential equation driven by fractional Brownian motions. Such functional inequalities are obtained through new integration by parts formulas on the path space of a fractional Brownian motion.", "revisions": [ { "version": "v1", "updated": "2011-02-22T20:28:00.000Z" } ], "analyses": { "keywords": [ "fractional brownian motion", "stochastic differential equations driven", "gradient bounds", "functional inequalities", "stochastic differential equation driven" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2011arXiv1102.4601B" } } }