Necessary conditions for density classification by cellular automata

Mathieu S. Capcarrère; Moshe Sipper

doi:10.1103/PhysRevE.64.036113

Necessary conditions for density classification by cellular automata

Mathieu S. Capcarrère, Moshe Sipper

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

Classifying the initial configuration of a binary-state cellular automaton (CA) as to whether it contains a majority of 0s or 1s—the so-called density-classification problem—has been studied over the past decade by researchers wishing to glean an understanding of how locally interacting systems compute global properties. In this paper we prove two necessary conditions that a CA must satisfy in order to classify density: (1) the density of the initial configuration must be conserved over time, and (2) the rule table must exhibit a density of (Formula presented)

Original language	English
Pages (from-to)	4
Number of pages	1
Journal	Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume	64
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevE.64.036113
State	Published - 1 Jan 2001
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Condensed Matter Physics

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Necessary conditions for density classification by cellular automata

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