English

Stochastic flows related to Walsh Brownian motion

Probability 2011-10-04 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1101.1575,
  title  = {Stochastic flows related to Walsh Brownian motion},
  author = {Hatem Hajri},
  journal= {arXiv preprint arXiv:1101.1575},
  year   = {2011}
}

Comments

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