English

Crowding of Brownian spheres

Probability 2010-12-30 v2

Abstract

We study two models consisting of reflecting one-dimensional Brownian "particles" of positive radius. We show that the stationary empirical distributions for the particle systems do not converge to the harmonic function for the generator of the individual particle process, unlike in the case when the particles are infinitely small.

Keywords

Cite

@article{arxiv.1002.1057,
  title  = {Crowding of Brownian spheres},
  author = {Krzysztof Burdzy and Soumik Pal and Jason Swanson},
  journal= {arXiv preprint arXiv:1002.1057},
  year   = {2010}
}

Comments

13 pages