Extremal Process of Last Progeny Modified Branching Random Walks

Latin American Journal of Probability and Mathematical Statistics 2026 Open access

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Authors: Partha Pratim Ghosh, Bastien Mallein
DOI: 10.30757/alea.v23-02
Cited by: 0
References: 18

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 → ∞.

Fields of Study & Subjects

Stochastic processes and statistical mechanics Probability and Risk Models Markov Chains and Monte Carlo Methods

Publication details

Journal / source
Latin American Journal of Probability and Mathematical Statistics
Volume
23
Issue
1
Pages
25–25
Publication date
1 January 2026
Language
EN