A local limit theorem for triple connections in subcritical Bernoulli percolation

Details A local limit theorem for triple connections in subcritical Bernoulli percolation A local limit theorem for triple connections in subcritical Bernoulli percolation

2011-03-10

arxiv.org/abs/1103.2002v1

Probab. Theory Relat. Fields (2009) n.143, pp.353-378

Mathematics

Probability

31 pages

Scientific paper

10.1007/s00440-007-0129-3

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
$\mathbb{Z}^{d},\,d\geq2$ in the limit where their distances tend to infinity.

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