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1997 Nucleation parameters for discrete threshold growth on {$\bold Z\sp 2$}
Janko Gravner, David Griffeath
Experiment. Math. 6(3): 207-220 (1997).

Abstract

Threshold Growth is a cellular automaton on an integer lattice in which the occupied set grows according to a simple local rule: a site becomes occupied if and only if it sees at least a threshold number of previously occupied sites in its prescribed neighborhood. We study the minimal number of sites that these dynamics need for persistent growth in two dimensions.

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Janko Gravner. David Griffeath. "Nucleation parameters for discrete threshold growth on {$\bold Z\sp 2$}." Experiment. Math. 6 (3) 207 - 220, 1997.

Information

Published: 1997
First available in Project Euclid: 17 March 2003

zbMATH: 0899.60085
MathSciNet: MR1481590

Subjects:
Primary: 60K35

Keywords: cellular automata , nucleation , Threshold growth

Rights: Copyright © 1997 A K Peters, Ltd.

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Vol.6 • No. 3 • 1997
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