Extremal Process of Last Progeny Modified Branching Random Walks

[ Joint work with Bastien Mallein ]

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 → ∞.  

DOI : 10.48550/arXiv.2405.11609

arXiv : 2405.11609