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April 1996 On the chemical distance for supercritical Bernoulli percolation
Peter Antal, Agoston Pisztora
Ann. Probab. 24(2): 1036-1048 (April 1996). DOI: 10.1214/aop/1039639377

Abstract

We prove large deviation estimates at the correct order for the graph distance of two sites lying in the same cluster of an independent percolation process. We improve earlier results of Gärtner and Molchanov and Grimmett and Marstrand and answer affirmatively a conjecture of Kozlov.

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Peter Antal. Agoston Pisztora. "On the chemical distance for supercritical Bernoulli percolation." Ann. Probab. 24 (2) 1036 - 1048, April 1996. https://doi.org/10.1214/aop/1039639377

Information

Published: April 1996
First available in Project Euclid: 11 December 2002

zbMATH: 0871.60089
MathSciNet: MR1404543
Digital Object Identifier: 10.1214/aop/1039639377

Subjects:
Primary: 60K35, 82B43

Rights: Copyright © 1996 Institute of Mathematical Statistics

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Vol.24 • No. 2 • April 1996
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