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August 2007 Ecological equilibrium for restrained branching random walks
Daniela Bertacchi, Gustavo Posta, Fabio Zucca
Ann. Appl. Probab. 17(4): 1117-1137 (August 2007). DOI: 10.1214/105051607000000203

Abstract

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.

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Daniela Bertacchi. Gustavo Posta. Fabio Zucca. "Ecological equilibrium for restrained branching random walks." Ann. Appl. Probab. 17 (4) 1117 - 1137, August 2007. https://doi.org/10.1214/105051607000000203

Information

Published: August 2007
First available in Project Euclid: 10 August 2007

zbMATH: 1132.60325
MathSciNet: MR2344301
Digital Object Identifier: 10.1214/105051607000000203

Subjects:
Primary: 60K35

Rights: Copyright © 2007 Institute of Mathematical Statistics

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Vol.17 • No. 4 • August 2007
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