Weak survival for branching random walks on graphs

Daniela Bertacchi; Fabio Zucca

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Weak survival for branching random walks on graphs

Daniela Bertacchi·Fabio Zucca

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Abstract

We study weak and strong survival for branching random walks on multigraphs. We prove that, for a large class of multigraphs, weak survival is related to a geometrical parameter of the multigraph and that the existence of a pure weak phase is equivalent to nonamenability. Finally we study weak and strong critical behaviors of the branching random walk.

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Daniela Bertacchi, Fabio Zucca. 2006-03-16. Weak survival for branching random walks on graphs. https://arxiv.org/abs/math/0603412

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