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- Title
Branching Brownian motion in a periodic environment and uniqueness of pulsating traveling waves.
- Authors
Ren, Yan-Xia; Song, Renming; Yang, Fan
- Abstract
Using one-dimensional branching Brownian motion in a periodic environment, we give probabilistic proofs of the asymptotics and uniqueness of pulsating traveling waves of the Fisher–Kolmogorov–Petrovskii–Piskounov (F-KPP) equation in a periodic environment. This paper is a sequel to 'Branching Brownian motion in a periodic environment and existence of pulsating travelling waves' (Ren et al. , 2022), in which we proved the existence of the pulsating traveling waves in the supercritical and critical cases, using the limits of the additive and derivative martingales of branching Brownian motion in a periodic environment.
- Subjects
PERIODIC motion; BROWNIAN motion; MARTINGALES (Mathematics)
- Publication
Advances in Applied Probability, 2023, Vol 55, Issue 2, p510
- ISSN
0001-8678
- Publication type
Article
- DOI
10.1017/apr.2022.32