Codice | QDD 50 |
Titolo | Approximating Critical Parameters of Branching Random Walks |
Data | 2009-07-15 |
Autore/i | Bertacchi, D.; Zucca, F. |
Link | Download full text | Pubblicato | J.Appl.Probab., 46 (2009), 463-478 |
Abstract | Given 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. |
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