The extremal process of branching Brownian motion with absorption
Probability
2023-10-10 v1
Abstract
In this paper, we study branching Brownian motion with absorption, in which particles undergo Brownian motions with drift and are killed upon reaching the origin. We prove that the extremal process of this branching Brownian motion with absorption converges to a random shifted decorated Poisson point process. Furthermore, we show that the law of the right-most particle converges to the law of a random shifted Gumbel random variable.
Keywords
Cite
@article{arxiv.2310.04976,
title = {The extremal process of branching Brownian motion with absorption},
author = {Fan Yang and Yaping Zhu},
journal= {arXiv preprint arXiv:2310.04976},
year = {2023}
}
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23 pages