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A local limit theorem for triple connections in subcritical Bernoulli percolation

Probability 2011-03-11 v1 Statistical Mechanics Mathematical Physics math.MP

Abstract

We prove a local limit theorem for the probability of a site to be connected by disjoint paths to three points in subcritical Bernoulli percolation on Zd,d2\mathbb{Z}^{d},\,d\geq2 in the limit where their distances tend to infinity.

Keywords

Cite

@article{arxiv.1103.2002,
  title  = {A local limit theorem for triple connections in subcritical Bernoulli percolation},
  author = {Massimo Campanino and Michele Gianfelice},
  journal= {arXiv preprint arXiv:1103.2002},
  year   = {2011}
}

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31 pages