Invariance principle for the maximal position process of branching Brownian motion in random environment
Probability
2022-06-17 v1
Abstract
In this paper we study the maximal position process of branching Brownian motion in random spatial environment. The random environment is given by a process satisfying certain conditions. We show that the maximum position of particles alive at time satisfies a quenched strong law of large numbers and an annealed invariance principle.
Keywords
Cite
@article{arxiv.2206.07950,
title = {Invariance principle for the maximal position process of branching Brownian motion in random environment},
author = {Haojie Hou and Yan-Xia Ren and Renming Song},
journal= {arXiv preprint arXiv:2206.07950},
year = {2022}
}