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A complete and efficiently computable topological classification of D-dimensional linear cellular automata over Zm

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (1997) 1256 794-804
DOI: 10.1007/3-540-63165-8_232
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Abstract

We study the dynamical behavior of D-dimensional linear cellular automata over Zm. We provide easy-to-check necessary and sufficient conditions for a D-dimensional linear cellular automata over Zm to be sensitive to initial conditions, expansive, strongly transitive, and equicontinuous.

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Manzini, G., & Margara, L. (1997). A complete and efficiently computable topological classification of D-dimensional linear cellular automata over Zm. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1256, pp. 794–804). Springer Verlag. https://doi.org/10.1007/3-540-63165-8_232

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