Recent results on branching random walks
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.
Cite
@article{arxiv.1104.5085,
title = {Recent results on branching random walks},
author = {Daniela Bertacchi and Fabio Zucca},
journal= {arXiv preprint arXiv:1104.5085},
year = {2018}
}
Comments
52 pages, 4 figures, added a new property on the probability of never visiting a subset for a BRW