{ "id": "1812.03610", "version": "v1", "published": "2018-12-10T03:46:44.000Z", "updated": "2018-12-10T03:46:44.000Z", "title": "Path Independence of Additive Functionals for SDEs under G-framework", "authors": [ "Panpan Pen", "Fen-Fen Yang" ], "categories": [ "math.PR" ], "abstract": "The path independence of additive functionals for SDEs driven by the G-Brownian motion is characterized by nonlinear PDEs. The main result generalizes the existing ones for SDEs driven by the standard Brownian motion.", "revisions": [ { "version": "v1", "updated": "2018-12-10T03:46:44.000Z" } ], "analyses": { "keywords": [ "path independence", "additive functionals", "g-framework", "sdes driven", "standard brownian motion" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }