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2012 A percolation process on the binary tree where large finite clusters are frozen
Jacob van den Berg, Demeter Kiss, Pierre Nolin
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Electron. Commun. Probab. 17: 1-11 (2012). DOI: 10.1214/ECP.v17-1694

Abstract

We study a percolation process on the planted binary tree,where clusters freeze as soon as they become larger than some fixed parameter N. We show that as N goes to infinity, the processconverges in some sense to the frozen percolation process introducedby Aldous. In particular, our results show that the asymptotic behaviour differs substantially from that on the square lattice, on which a similar process has been studied recently by van den Berg, de Lima and Nolin.

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Jacob van den Berg. Demeter Kiss. Pierre Nolin. "A percolation process on the binary tree where large finite clusters are frozen." Electron. Commun. Probab. 17 1 - 11, 2012. https://doi.org/10.1214/ECP.v17-1694

Information

Accepted: 6 January 2012; Published: 2012
First available in Project Euclid: 7 June 2016

zbMATH: 1244.60098
MathSciNet: MR2872571
Digital Object Identifier: 10.1214/ECP.v17-1694

Subjects:
Primary: 60K35
Secondary: 82B43

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