{ "id": "math/0601038", "version": "v3", "published": "2006-01-03T12:36:48.000Z", "updated": "2006-11-28T00:44:56.000Z", "title": "Exact rate of convergence of some approximation schemes associated to SDEs driven by a fractional Brownian motion", "authors": [ "Andreas Neuenkirch", "Ivan Nourdin" ], "comment": "32 pages; To appear in Journal of Theoretical Probability", "categories": [ "math.PR" ], "abstract": "In this paper, we derive the exact rate of convergence of some approximation schemes associated to scalar stochastic differential equations driven by a fractional Brownian motion with Hurst index H.", "revisions": [ { "version": "v3", "updated": "2006-11-28T00:44:56.000Z" } ], "analyses": { "subjects": [ "60G18", "60H05", "60H20" ], "keywords": [ "fractional brownian motion", "approximation schemes", "exact rate", "sdes driven", "convergence" ], "note": { "typesetting": "TeX", "pages": 32, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2006math......1038N" } } }