CodiceQDD 50
TitoloApproximating Critical Parameters of Branching Random Walks
Data2009-07-15
Autore/iBertacchi, D.; Zucca, F.
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PubblicatoJ.Appl.Probab., 46 (2009), 463-478
AbstractGiven a branching random walk on a graph, we consider two kinds of truncations: either by inhibiting the reproduction outside a subset of vertices or by allowing at most m particles per vertex. We investigate the convergence of weak and strong critical parameters of these truncated branching random walks to the analogous parameters of the original branching random walk. As a corollary, we apply our results to the study of the strong critical parameter of a branching random walk restricted to the cluster of a Bernoulli bond percolation.