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Preprints, Working Papers, ... Year : 2024

Extremal Process of Last Progeny Modified Branching Random Walks

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 $n \to \infty$.
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hal-04614969 , version 1 (17-06-2024)

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Partha Pratim Ghosh, Bastien Mallein. Extremal Process of Last Progeny Modified Branching Random Walks. 2024. ⟨hal-04614969⟩
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