Article ID Journal Published Year Pages File Type
1156305 Stochastic Processes and their Applications 2009 17 Pages PDF
Abstract

In this paper, we study the martingale characterization of G-Brownian motion, which was defined by Peng (cf. http://abelsymposium.no/symp2005/preprints/peng.pdf) in 2006. As an application, we present a method for constructing a G-Brownian motion using a Markov chain. Furthermore, we obtain the representation theorem for some special symmetric martingales in the G-framework.

Related Topics
Physical Sciences and Engineering Mathematics Mathematics (General)
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