On the uniqueness of the infinite cluster in the percolation model

A. Gandolfi; G. Grimmett; L. Russo

doi:10.1007/BF01229454

On the uniqueness of the infinite cluster in the percolation model

A. Gandolfi, G. Grimmett, L. Russo

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

We simplify the recent proof by Aizenman, Kesten and Newman of the uniqueness of the infinite open cluster in the percolation model. Our new proof is more suitable for generalization in the direction of percolation-type processes with dependent site variables.

Original language	English (US)
Pages (from-to)	549-552
Number of pages	4
Journal	Communications In Mathematical Physics
Volume	114
Issue number	4
DOIs	https://doi.org/10.1007/BF01229454
State	Published - Dec 1988

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Mathematical Physics

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title = "On the uniqueness of the infinite cluster in the percolation model",

abstract = "We simplify the recent proof by Aizenman, Kesten and Newman of the uniqueness of the infinite open cluster in the percolation model. Our new proof is more suitable for generalization in the direction of percolation-type processes with dependent site variables.",

author = "A. Gandolfi and G. Grimmett and L. Russo",

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AU - Russo, L.

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On the uniqueness of the infinite cluster in the percolation model

Abstract

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