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March 2014 Percolation of hard disks
D. Aristoff
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J. Appl. Probab. 51(1): 235-246 (March 2014). DOI: 10.1239/jap/1395771426

Abstract

Random arrangements of points in the plane, interacting only through a simple hard-core exclusion, are considered. An intensity parameter controls the average density of arrangements, in analogy with the Poisson point process. It is proved that, at high intensity, an infinite connected cluster of excluded volume appears almost surely.

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D. Aristoff. "Percolation of hard disks." J. Appl. Probab. 51 (1) 235 - 246, March 2014. https://doi.org/10.1239/jap/1395771426

Information

Published: March 2014
First available in Project Euclid: 25 March 2014

zbMATH: 1294.60114
MathSciNet: MR3189454
Digital Object Identifier: 10.1239/jap/1395771426

Subjects:
Primary: 60K35
Secondary: 82B26, 82B43

Rights: Copyright © 2014 Applied Probability Trust

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Vol.51 • No. 1 • March 2014
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