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G- expectation, G- normal distribution and related problems
G-expectation G-normal distribution sublinear expectation space viscosity solution classical probability theory space
2011/11/5
In this paper we study the academician Peng Shige's papers of the nonlinear expectation since 2005. Under this foundation we interpret some theories and resolve several problems of the theory of G-exp...
Characterizations of processes with stationary and independent increments under $G$-expectation
Characterizations of processes stationary independent increments
2010/11/26
Our purpose is to investigate properties for processes with stationary and independent increments under G-expectation. As applications,we prove the martingale characterization to G-Brownian motion and...