Stochastic flows related to Walsh Brownian motion

Details Stochastic flows related to Walsh Brownian motion Stochastic flows related to Walsh Brownian motion

2011-01-08

arxiv.org/abs/1101.1575v2

Mathematics

Probability

Electronic journal of probability, 16, 1563-1599 (2011)

Scientific paper

We define an equation on a simple graph which is an extension of Tanaka
equation and the skew Brownian motion equation. We then apply the theory of
transition kernels developped by Le Jan and Raimond and show that all the
solutions can be classified by probability measures.

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