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February 2015 Interacting growth processes and invariant percolation
Sebastian Müller
Ann. Appl. Probab. 25(1): 268-286 (February 2015). DOI: 10.1214/13-AAP995

Abstract

The aim of this paper is to underline the relation between reversible growth processes and invariant percolation. We present two models of interacting branching random walks (BRWs), truncated BRWs and competing BRWs, where survival of the growth process can be formulated as the existence of an infinite cluster in an invariant percolation on a tree. Our approach is fairly conceptual and allows generalizations to a wider set of “reversible” growth processes.

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Sebastian Müller. "Interacting growth processes and invariant percolation." Ann. Appl. Probab. 25 (1) 268 - 286, February 2015. https://doi.org/10.1214/13-AAP995

Information

Published: February 2015
First available in Project Euclid: 16 December 2014

zbMATH: 1308.60110
MathSciNet: MR3297773
Digital Object Identifier: 10.1214/13-AAP995

Subjects:
Primary: 60J10, 60J80
Secondary: 05C80

Rights: Copyright © 2015 Institute of Mathematical Statistics

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Vol.25 • No. 1 • February 2015
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