{ "id": "1306.1929", "version": "v1", "published": "2013-06-08T15:15:49.000Z", "updated": "2013-06-08T15:15:49.000Z", "title": "Representation theorem for generators of BSDEs driven by G-Brownian motion and its applications", "authors": [ "Kun Heand", "Mingshang Hu" ], "comment": "arXiv admin note: text overlap with arXiv:1304.1599 by other authors", "categories": [ "math.PR" ], "abstract": "We obtain a representation theorem for the generators of BSDEs driven by G-Brownian motions, and then we use the representation theorem to get a converse comparison theorem for G-BSDEs and some equivalent results for nonlinear expectations generated by G-BSDEs.", "revisions": [ { "version": "v1", "updated": "2013-06-08T15:15:49.000Z" } ], "analyses": { "keywords": [ "representation theorem", "bsdes driven", "g-brownian motion", "generators", "applications" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1306.1929H" } } }