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

  • Session 20: Semantics II and Automata
  • Conference paper
  • First Online:
Automata, Languages and Programming (ICALP 1997)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1256))

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Abstract

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

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Authors and Affiliations

  1. Dipartimento di Scienze e Tecnologie Avanzate, Università di Torino, Via Cavour 84, 15100, Alessandria, Italy

    Giovanni Manzini

  2. Istituto di Matematica Computazionale, Via S. Maria, 46, 56126, Pisa, Italy

    Giovanni Manzini

  3. Dipartimento di Scienze dell'Informazione, Università di Bologna, Mura Anteo Zamboni 7, 40127, Bologna, Italy

    Luciano Margara

Authors
  1. Giovanni Manzini
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  2. Luciano Margara
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Editor information

Pierpaolo Degano Roberto Gorrieri Alberto Marchetti-Spaccamela

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© 1997 Springer-Verlag Berlin Heidelberg

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Manzini, G., Margara, L. (1997). A complete and efficiently computable topological classification of D-dimensional linear cellular automata over Z m . In: Degano, P., Gorrieri, R., Marchetti-Spaccamela, A. (eds) Automata, Languages and Programming. ICALP 1997. Lecture Notes in Computer Science, vol 1256. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-63165-8_232

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  • DOI: https://doi.org/10.1007/3-540-63165-8_232

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-63165-1

  • Online ISBN: 978-3-540-69194-5

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