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arXiv · 2303.12256

Extremal process for irreducible multitype branching Brownian motion

Haojie Hou·Yan-Xia Ren·Renming Song
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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.

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Haojie Hou, Yan-Xia Ren, Renming Song. 2023-03-22. Extremal process for irreducible multitype branching Brownian motion. https://arxiv.org/abs/2303.12256

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