{ "id": "1202.3627", "version": "v1", "published": "2012-02-16T15:42:51.000Z", "updated": "2012-02-16T15:42:51.000Z", "title": "Harnack Inequalities and Applications for Stochastic Differential Equations Driven by Fractional Brownian Motion", "authors": [ "Xi-Liang Fan" ], "categories": [ "math.PR" ], "abstract": "In the paper, Harnack inequalities are established for stochastic differential equations driven by fractional Brownian motion with Hurst parameter $H<1/2$. As applications, strong Feller property, log-Harnack inequality and entropy-cost inequality are given.", "revisions": [ { "version": "v1", "updated": "2012-02-16T15:42:51.000Z" } ], "analyses": { "keywords": [ "stochastic differential equations driven", "fractional brownian motion", "harnack inequalities", "applications", "strong feller property" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1202.3627F" } } }