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Finite-size effects for anisotropic bootstrap percolation: logarithmic corrections

Aernout C. D. van Enter, Tim Hulshof

cond-mat.stat-mecharXiv:cond-mat/0702145

Abstract

In this note we analyze an anisotropic, two-dimensional bootstrap percolation model introduced by Gravner and Griffeath. We present upper and lower bounds on the finite-size effects. We discuss the similarities with the semi-oriented model introduced by Duarte.

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