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February 2001 Uniqueness of the infinite entangled component in three-dimensional bond percolation
Olle Häggström
Ann. Probab. 29(1): 127-136 (February 2001). DOI: 10.1214/aop/1008956325

Abstract

We prove uniqueness of the infinite entangled component for bond percolation on the three-dimensional cubic lattice above the entanglement critical probability. This improves earlier results by Grimmett and Holroyd.

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Olle Häggström. "Uniqueness of the infinite entangled component in three-dimensional bond percolation." Ann. Probab. 29 (1) 127 - 136, February 2001. https://doi.org/10.1214/aop/1008956325

Information

Published: February 2001
First available in Project Euclid: 21 December 2001

zbMATH: 1013.60083
MathSciNet: MR1825145
Digital Object Identifier: 10.1214/aop/1008956325

Subjects:
Primary: 60K35
Secondary: 82B43

Keywords: Entanglement percolation , uniqueness monotonicity

Rights: Copyright © 2001 Institute of Mathematical Statistics

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Vol.29 • No. 1 • February 2001
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