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math.PR2018
Percolation on the product graph of a regular tree and a line does not satisfy the triangle condition at the uniqueness threshold
Kohei Yamamoto
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.
math.PR2018
Critical probability on the product graph of a regular tree and a line
Kohei Yamamoto
We consider Bernoulli bond percolation on the product graph of a regular tree and a line. Schonmann showed that there are a.s. infinitely many infinite clusters at by using…