An ergodic theorem for the maximum of branching Brownian motion with absorption
Probability
2026-05-13 v2
Abstract
In this paper, we study branching Brownian motion with absorption, in which particles undergo Brownian motions and are killed upon hitting the absorption barrier. We prove that the empirical distribution function of the maximum of this process converges almost surely to a randomly shifted Gumbel distribution.
Cite
@article{arxiv.2409.02479,
title = {An ergodic theorem for the maximum of branching Brownian motion with absorption},
author = {Fan Yang},
journal= {arXiv preprint arXiv:2409.02479},
year = {2026}
}
Comments
16 pages, 3 figures