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arXiv · 2202.11255

Branching Brownian motion in a periodic environment and uniqueness of pulsating travelling waves

Yan-Xia Ren·Renming Song·Fan Yang
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Abstract

Using one-dimensional branching Brownian motion in a periodic environment, we give probabilistic proofs of the asymptotics and uniqueness of pulsating travelling waves of the F-KPP equation in a periodic environment. This paper is a sequel to [Ren et al. Branching Brownian motion in a periodic environment and existence of pulsating travelling waves], in which we proved the existence of the pulsating travelling waves in the supercritical and critical cases using the limits of the additive and derivative martingales of branching Brownian motion in a periodic environment.

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Yan-Xia Ren, Renming Song, Fan Yang. 2022-02-23. Branching Brownian motion in a periodic environment and uniqueness of pulsating travelling waves. https://arxiv.org/abs/2202.11255

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