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arXiv · 1103.2002

A local limit theorem for triple connections in subcritical Bernoulli percolation

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

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Massimo Campanino, Michele Gianfelice. 2011-03-10. A local limit theorem for triple connections in subcritical Bernoulli percolation. https://doi.org/10.1007/s00440-007-0129-3

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