Percolation on a product of two trees

Research output: Contribution to journalArticlepeer-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 It relies on an unpublished lemma of Oded Schramm.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 languageEnglish
Pages (from-to)1864-1895
Number of pages32
JournalAnnals of Probability
Volume39
Issue number5
DOIs
StatePublished - Sep 2011

All Science Journal Classification (ASJC) codes

  • Statistics and Probability
  • Statistics, Probability and Uncertainty

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