Discrete approximation to solution flows of Tanaka SDE related to Walsh Brownian motion

Details Discrete approximation to solution flows of Tanaka SDE related to Walsh Brownian motion Discrete approximation to solution flows of Tanaka SDE related to Walsh Brownian motion

2011-01-10

arxiv.org/abs/1101.1724v2

Mathematics

Probability

To appear in S\'eminaire de probabilit\'es

Scientific paper

In a previous work, we have defined a Tanaka SDE related to Walsh Brownian motion which depends on kernels. It was shown that there are only one Wiener solution and only one flow of mappings solving this equation. In the terminology of Le Jan and Raimond, these are respectively the stronger and the weaker among all solutions. In this paper, we obtain these solutions as limits of discrete models.

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