Finite-size effects for anisotropic bootstrap percolation: logarithmic corrections
classification
❄️ cond-mat.stat-mech
math-phmath.MPmath.PR
keywords
anisotropicbootstrapeffectsfinite-sizeintroducedmodelpercolationanalyze
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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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