3 citations · 4 across the 3 of their papers we have counts for
3 papers
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★ 1 cited
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…
math.PR2017★ 3 cited
An upper bound for the critical probability on the Cartesian product graph of a regular tree and a line
Kohei Yamamoto
In Bernoulli bond percolation on the Cartesian product graph of a -regular tree and a line, we give an upper bound for the critical probability .