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A modified version of frozen percolation on the binary tree

R. Brouwer
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Abstract

We consider the following, intuitively described process: at time zero, all sites of a binary tree are at rest. Each site becomes activated at a random uniform [0,1] time, independent of the other sites. As soon as a site is in an infinite cluster of activated sites, this cluster of activated sites freezes. The main question is whether a process like this exists. Aldous [Ald00] proved that this is the case for a slightly different version of frozen percolation. In this paper we construct a process that fits the intuitive description and discuss some properties.

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R. Brouwer. 2005-11-01. A modified version of frozen percolation on the binary tree. https://arxiv.org/abs/math/0511021

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