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arXiv 2009-12-08 DOI 10.1016/j.jmaa.2012.09.001 0 views

Local time and Tanaka formula for G-Brownian Motion

Lin, Qian

Original · EN

In this paper, we study the notion of local time and 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 Itᵒ's formula with respect to the G-Brownian motion to convex functions.

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