Percolation on the product graph of a regular tree and a line does not satisfy the triangle condition at the uniqueness threshold

Kohei Yamamoto

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arXiv · 1811.01477

Percolation on the product graph of a regular tree and a line does not satisfy the triangle condition at the uniqueness threshold

Kohei Yamamoto

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Abstract

We consider Bernoulli bond percolation on the product graph of a regular tree and a line. We show that the triangle condition does not hold at the uniqueness threshold.

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Kohei Yamamoto. 2018-11-05. Percolation on the product graph of a regular tree and a line does not satisfy the triangle condition at the uniqueness threshold. https://arxiv.org/abs/1811.01477

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