Codice QDD 46 Titolo Ecological equilibrium for restrained branching random walks Data 2009-07-15 Autore/i Bertacchi, D. ; Posta, G. ; Zucca, F. Link Download full text Pubblicato Annals of Applied Probability, 17 (2007), n. 4, p. 1117-1137 Abstract We study a generalized branching random walk where particles breed at a rate which depends on the number of neighbouring particles. Under general assumptions on the breeding rates we prove the existence of a phase where the population survives without exploding. We construct a non trivial invariant measure for this case.