English

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

Probability 2018-11-06 v1

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.

Keywords

Cite

@article{arxiv.1811.01477,
  title  = {Percolation on the product graph of a regular tree and a line does not satisfy the triangle condition at the uniqueness threshold},
  author = {Kohei Yamamoto},
  journal= {arXiv preprint arXiv:1811.01477},
  year   = {2018}
}

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5 pages