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arXiv · 1003.5240

Percolation on a product of two trees

Gady Kozma
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Abstract

We show that critical percolation on a product of two regular trees of degree $\ge$ 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 It relies on an unpublished lemma of Oded Schramm.

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Gady Kozma. 2010-03-26. Percolation on a product of two trees. https://doi.org/10.1214/10-aop618

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