Codice | QDD 94 |
Titolo | Recent results on branching random walks |
Data | 2011-05-06 |
Autore/i | Bertacchi, D.; Zucca, F. |
Link | Download full text | Pubblicato | Random Walks: Principles, Processes and Applications, Nova Science Publishers. |
Abstract | This paper is a collection of recent results on discrete-time and continuous-time branching random walks.
Some results are new and others are known. Many aspects of this theory are considered: local, global and strong local survival,
the existence of a pure global survival phase and the approximation of branching random walks by means of multitype contact processes or spatially confined branching random walks.
Most results are obtained using a generating function approach: the probabilities of extinction are seen as fixed points of an infinite dimensional power series. Throughout this paper we provide many nontrivial examples and
counterexamples. |
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