Absence of infinite cluster for critical Bernoulli percolation on slabs
Probability
2014-01-29 v1 Mathematical Physics
math.MP
Abstract
We prove that for Bernoulli percolation on a graph (), there is no infinite cluster at criticality, almost surely. The proof extends to finite range Bernoulli percolation models on which are invariant under -rotation and reflection.
Cite
@article{arxiv.1401.7130,
title = {Absence of infinite cluster for critical Bernoulli percolation on slabs},
author = {Hugo Duminil-Copin and Vladas Sidoravicius and Vincent Tassion},
journal= {arXiv preprint arXiv:1401.7130},
year = {2014}
}
Comments
17 pages, 5 figures