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

ADVANCES IN APPLIED PROBABILITY (2022)

Maximum of branching Brownian motion in a periodic environment

Eyal Lubetzky et al.

Summary: The study examines the maximum of Branching Brownian motion (BBM) with varying branching rates in a periodic medium, revealing convergence in distribution of specific subsequences and identifying the limiting distribution. The results highlight the asymptotic shift between the solution to the corresponding F-KPP equation with Heavyside initial data and the pulsating wave.

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES (2022)

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Article Mathematics, Applied