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arxiv: 1306.1929 · v1 · pith:2UOJDN3Wnew · submitted 2013-06-08 · 🧮 math.PR

Representation theorem for generators of BSDEs driven by G-Brownian motion and its applications

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keywords theoremrepresentationbsdesdriveng-browniang-bsdesgeneratorsapplications
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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.

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