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 Z^d, d ge 2, in the limit where their distances tend to infinity.
A local limit theorem for triple connections in subcritical Bernoulli percolation / M. Campanino; M. Gianfelice. - In: PROBABILITY THEORY AND RELATED FIELDS. - ISSN 0178-8051. - STAMPA. - 143:(2009), pp. 353-378. [10.1007/s00440-007-0129-3]
A local limit theorem for triple connections in subcritical Bernoulli percolation
CAMPANINO, MASSIMO;
2009
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 Z^d, d ge 2, in the limit where their distances tend to infinity.File in questo prodotto:
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