English

The Spine of the Fleming-Viot process driven by Brownian motion

Probability 2024-04-29 v2

Abstract

We show that the spine of the Fleming-Viot process driven by Brownian motion in a bounded Lipschitz domain with Lipschitz constant less than 1 converges to Brownian motion conditioned to stay in the domain forever.

Keywords

Cite

@article{arxiv.2112.01720,
  title  = {The Spine of the Fleming-Viot process driven by Brownian motion},
  author = {Krzysztof Burdzy and János Engländer},
  journal= {arXiv preprint arXiv:2112.01720},
  year   = {2024}
}