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arXiv · 2405.11609

Extremal Process of Last Progeny Modified Branching Random Walks

Partha Pratim Ghosh·Bastien Mallein
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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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Partha Pratim Ghosh, Bastien Mallein. 2024-05-19. Extremal Process of Last Progeny Modified Branching Random Walks. https://doi.org/10.30757/alea.v23-02

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