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arxiv: 1811.01477 · v1 · pith:LK7WFGPJnew · submitted 2018-11-05 · 🧮 math.PR

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

classification 🧮 math.PR
keywords conditiongraphlinepercolationproductregularthresholdtree
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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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