Percolation on a product of two trees
Probability
2015-03-13 v3
Abstract
We show that critical percolation on a product of two regular trees of degree 3 satisfies the triangle condition. The proof does not examine the degrees of vertices and is not "perturbative" in any sense. It relies on an unpublished lemma of Oded Schramm.
Cite
@article{arxiv.1003.5240,
title = {Percolation on a product of two trees},
author = {Gady Kozma},
journal= {arXiv preprint arXiv:1003.5240},
year = {2015}
}
Comments
Published in at http://dx.doi.org/10.1214/10-AOP618 the Annals of Probability (http://www.imstat.org/aop/) by the Institute of Mathematical Statistics (http://www.imstat.org)