Percolation on a product of two trees

Gady Kozma

doi:10.1214/10-AOP618

Percolation on a product of two trees

Gady Kozma

Department of Mathematics

Weizmann Institute of Science

Research output: Contribution to journal › Article › peer-review

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 It relies on an unpublished lemma of Oded Schramm.

Original language	English
Pages (from-to)	1864-1895
Number of pages	32
Journal	Annals of Probability
Volume	39
Issue number	5
DOIs	https://doi.org/10.1214/10-AOP618
State	Published - Sep 2011

ASJC Scopus subject areas

Statistics and Probability
Statistics, Probability and Uncertainty

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title = "Percolation on a product of two trees",

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 It relies on an unpublished lemma of Oded Schramm.",

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DO - 10.1214/10-AOP618

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SP - 1864

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JO - Annals of Probability

JF - Annals of Probability

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Percolation on a product of two trees

Abstract

ASJC Scopus subject areas

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