|Titolo||Recent results on branching random walks|
|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