Article ID Journal Published Year Pages File Type
6418951 Journal of Mathematical Analysis and Applications 2013 20 Pages PDF
Abstract

In this paper, we study the notion of local time and obtain the Tanaka formula for the G-Brownian motion. Moreover, the joint continuity of the local time of the G-Brownian motion is obtained and its quadratic variation is proven. As an application, we generalize the Itô formula with respect to the G-Brownian motion to convex functions.

Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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