Extremal Process of Last Progeny Modified Branching Random Walks

2024/05/19 by Ghosh, Partha Pratim, Mallein, Bastien
#60G50 #60G70 #60J80 #FOS: Mathematics #Primary 60G55 #Probability (math.PR) #Secondary 60G42

paper · doi:10.48550/arxiv.2405.11609

Abstract

We consider a last progeny modified branching random walk, in which the position of each particle at the last generation n is modified by an i.i.d. copy of a random variable Y. Depending on the asymptotic properties of the tail of Y, we describe the asymptotic behaviour of the extremal process of this model as n → ∞.

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