28 novembre 2025
Fuseau horaire Europe/Paris

The extremal process of two-speed branching random walk

28 nov. 2025, 15:05
35m
RdC 9.02 (IMAG)

RdC 9.02

IMAG

Orateur

Lianghui Luo

Description

We consider a two-speed branching random walk, which consists of two macroscopic stages with different reproduction laws. We prove that the centered maximum converges in law to a Gumbel variable with a random shift and the extremal process converges in law to a randomly shifted decorated Poisson point process, which can be viewed as a discrete analog for the corresponding results for the two-speed branching Brownian motion, previously established by Bovier and Hartung(2014)

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