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Antoine Aurillard

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Preprint Aug 2026

Recurrence and capacity of stable branching random walks

We study the linear growth rate of the range of size-conditioned Branching Random Walks (BRW) when the offspring distribution $\mu$ is critical and attracted to an $\alpha$-stable law. This is done via the infinite invariant BRW introduced by Le Gall&Lin and a new criterion which relates this growth rate of the range t...

Antoine Aurillard · 0 citations