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Finite-Size Effects for Anisotropic Bootstrap Percolation: Logarithmic Corrections

By Aernout C.D. van Enter and Tim Hulshof

Abstract

In this note we analyse 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.

Year: 2007
DOI identifier: 10.1007/s10955-007-9377-y
OAI identifier: oai:ub.rug.nl:dbi/47c67622b18ca
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