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math.PR2022
Branching Brownian motion in a periodic environment and uniqueness of pulsating travelling waves
Yan-Xia Ren, Renming Song, Fan Yang
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…
math.PR2022
Branching Brownian motion in a periodic environment and existence of pulsating travelling waves
Yan-Xia Ren, Renming Song, Fan Yang
We study the limits of the additive and derivative martingales of one-dimensional branching Brownian motion in a periodic environment. Then we prove the existence of pulsating trav…