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 It relies on an unpublished lemma of Oded Schramm.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 |
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Pages (from-to) | 1864-1895 |
Number of pages | 32 |
Journal | Annals of Probability |
Volume | 39 |
Issue number | 5 |
DOIs | |
State | Published - Sep 2011 |
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Statistics, Probability and Uncertainty