A percolation process on the binary tree where large finite clusters are frozen
Probability
2011-05-11 v1
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 process converges in some sense to the frozen percolation process introduced by 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.
Cite
@article{arxiv.1105.1977,
title = {A percolation process on the binary tree where large finite clusters are frozen},
author = {Jacob van den Berg and Demeter Kiss and Pierre Nolin},
journal= {arXiv preprint arXiv:1105.1977},
year = {2011}
}
Comments
11 pages