Extremal process for irreducible multitype branching Brownian motion
Probability
2023-03-24 v2
Abstract
We first study the convergence of solutions of a system of F-KPP equations related to irreducible multitype branching Brownian motions with Heaviside-type initial conditions to traveling wave solutions. Then we apply this convergence result to prove that the extremal processes of irreducible multitype branching Brownian motions converges weakly to a cluster point process.
Keywords
Cite
@article{arxiv.2303.12256,
title = {Extremal process for irreducible multitype branching Brownian motion},
author = {Haojie Hou and Yan-Xia Ren and Renming Song},
journal= {arXiv preprint arXiv:2303.12256},
year = {2023}
}