A complete and efficiently computable topological classification of D-dimensional linear cellular automata over \(Z_{m}\)
type: Item
instance of: scholarly article
title: A complete and efficiently computable topological classification of D-dimensional linear cellular automata over \(Z_{m}\)
zbMATH Open document ID: 0930.68090
DOI: 10.1016/S0304-3975(99)00031-6
author: Giovanni Manzini
author: Luciano Margara
published in: Theoretical Computer Science
publication date: 2000-01-12T00:00:00Z
Mathematics Subject Classification ID: 68Q80
zbMATH DE Number: 1387425
zbMATH Keywords: linear cellular automata
zbMATH Keywords: topological properties
zbMATH Keywords: discrete time dynamical systems
MaRDI profile type: Publication
cites work: Dynamical characteristics of linear cellular automata
cites work: Ergodicity, transitivity, and regularity for linear cellular automata over \(\mathbb{Z}_m\)
cites work: Q4357204
cites work: On the Limit Sets of Cellular Automata
cites work: Q3805907
cites work: Q3993502
cites work: Lyapunov exponent versus expansivity and sensitivity in cellular automata
cites work: Q4854587
cites work: Exact results for deterministic cellular automata with additive rules
cites work: Linear cellular automata over \(Z_ m\)
cites work: Rice's theorem for the limit sets of cellular automata
cites work: Q4381386
cites work: Invertible linear cellular automata over \(\mathbb{Z}_m\): Algorithmic and dynamical aspects
cites work: Group structured linear cellular automata over \(Z_ m\)
cites work: Ergodicity of linear cellular automata over \({\mathbb Z}_{m}\)
cites work: Expansiveness, entropy and polynomial growth for groups acting on subshifts by automorphisms
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description: scientific article; zbMATH DE number 1387425