English

Dyson's Brownian motions, intertwining and interlacing

Probability 2007-05-23 v1

Abstract

A family of reflected Brownian motions is used to construct Dyson's process of non-colliding Brownian motions. A number of explicit formulae are given, including one for the distribution of a family of coalescing Brownian motions.

Keywords

Cite

@article{arxiv.math/0509720,
  title  = {Dyson's Brownian motions, intertwining and interlacing},
  author = {Jon Warren},
  journal= {arXiv preprint arXiv:math/0509720},
  year   = {2007}
}

Comments

13 pages