Crossing probabilities for critical Bernoulli percolation on slabs
Probability
2016-03-23 v2 Mathematical Physics
math.MP
Abstract
We prove that in the critical Bernoulli percolation on two dimensional lattice slabs the probabilities of open left-right crossings of rectangles with any given aspect ratio are uniformly positive.
Keywords
Cite
@article{arxiv.1512.05178,
title = {Crossing probabilities for critical Bernoulli percolation on slabs},
author = {Deepan Basu and Artem Sapozhnikov},
journal= {arXiv preprint arXiv:1512.05178},
year = {2016}
}
Comments
added a bibliographic note and a reference to arXiv:1512.09107 where an alternative proof of our main result has been independently obtained