Seven-dimensional forest fires
Probability
2015-07-06 v2
Abstract
We show that in high dimensional Bernoulli percolation, removing from a thin infinite cluster a much thinner infinite cluster leaves an infinite component. This observation has implications for the van den Berg-Brouwer forest fire process, also known as self-destructive percolation, for dimension high enough.
Cite
@article{arxiv.1302.6872,
title = {Seven-dimensional forest fires},
author = {Daniel Ahlberg and Hugo Duminil-Copin and Gady Kozma and Vladas Sidoravicius},
journal= {arXiv preprint arXiv:1302.6872},
year = {2015}
}
Comments
8 pages