Title of article
Martingale characterization of G-Brownian motion
Author/Authors
Xu، نويسنده , , Jing and Zhang، نويسنده , , Bo، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
17
From page
232
To page
248
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.
Keywords
G-Brownian motion , Markov chain , G-expectation , Martingale characterization , Integral representation
Journal title
Stochastic Processes and their Applications
Serial Year
2009
Journal title
Stochastic Processes and their Applications
Record number
1578057
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