Comments on a simple cellular automaton in spin representation
type: Item
instance of: scholarly article
title: Comments on a simple cellular automaton in spin representation
zbMATH Open document ID: 0592.68048
DOI: 10.1016/0167-2789(86)90048-5
author: B. George
published in: Physica D
publication date: 1986-01-01T00:00:00Z
review text: A simple, deterministic cellular automaton, studied in depth by \textit{O. Martin}, \textit{A. M. Odlyzko}, and \textit{S. Wolfram} [Commun. Math. Phys. 93, 219-258 (1984; Zbl 0564.68038)] is reconsidered in terms of (Ising) spin variables. Alternative proofs are given for several lemmas, and attention is drawn to the striking time evolution of the system with \(N=2^ k\) spins, where \(k=1,2,3,... \).
Mathematics Subject Classification ID: 68Q80
Mathematics Subject Classification ID: 82B99
zbMATH DE Number: 3952014
zbMATH Keywords: Ising spin systems
zbMATH Keywords: time evolution
MaRDI profile type: Publication
full work available at URL: 0167-2789(86)90048-5
OpenAlex ID: W2041785599
cites work: Q5653194
cites work: Statistical mechanics of cellular automata
cites work: Algebraic properties of cellular automata
cites work: Stochastic difference equations for a spin system
description: scientific article; zbMATH DE number 3952014