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

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.

References in corpus (2)

• Subcritical superprocesses conditioned on non-extinction
• The spine of two-particle Fleming-Viot process in a bounded interval