Mathematics – Probability
Scientific paper
2006-11-23
Annals of Applied Probability 2007, Vol. 17, No. 4, 1117-1137
Mathematics
Probability
Published in at http://dx.doi.org/10.1214/105051607000000203 the Annals of Applied Probability (http://www.imstat.org/aap/) by
Scientific paper
10.1214/105051607000000203
We study a generalized branching random walk where particles breed at a rate
which depends on the number of neighboring particles. Under general assumptions
on the breeding rates we prove the existence of a phase where the population
survives without exploding. We construct a nontrivial invariant measure for
this case.
Bertacchi Daniela
Posta Gustavo
Zucca Fabio
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