G-Brownian Motion and Itô’s Calculus

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Abstract

The aim of this chapter is to introduce the concept of G-Brownian motion, study its properties and construct Itô’s integral with respect to G-Brownian motion. We emphasize here that this G-Brownian motion Bt, t≥ 0 is consistent with the classical one.

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Peng, S. (2019). G-Brownian Motion and Itô’s Calculus. In Probability Theory and Stochastic Modelling (Vol. 95, pp. 49–89). Springer Nature. https://doi.org/10.1007/978-3-662-59903-7_3

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