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Lévy's martingale characterization and reflection principle of $G$-Brownian motion
Mingshang Hu, Xiaojun Ji, Guomin Liu · 2018-05-29 · via math.PR updates on arXiv.org

In this paper, we obtain Lévy's martingale characterization of $G$-Brownian motion without the nondegenerate condition. Base on this characterization, we prove the reflection principle of $G$-Brownian motion. Furthermore, we use Krylov's estimate to get the reflection principle of $\tilde{G}$-Brownian motion.

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