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Permutation Cellular Automata

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Abstract

Permutation cellular automata are cellular automata defined by using finite maximal prefix codes. The overall dynamics of onesided and twosided permutation cellular automata is studied. For some classes of permutation cellular automata including the class of those defined by using finite maximal bifix codes, the overall dynamics is completely or partially described in terms of the codes used to define them.

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Acknowledgements

The authors thank the referee for many useful comments to improve the presentation of the paper.

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Authors and Affiliations

  1. Departamento de Matemática, Facultad de Ciencias Exactas, Universidad Nacional de Salta, Av. Bolivia 5150, 4400, Salta, Argentina

    Camilo Jadur & Jorge Yazlle

  2. 19-8, 9-chōme, Takaya-Takamigaoka, Higashi-Hiroshima, 739-2115, Japan

    Masakazu Nasu

Authors
  1. Camilo Jadur
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  2. Masakazu Nasu
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  3. Jorge Yazlle
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Corresponding author

Correspondence to Masakazu Nasu.

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Dedicated to the memory of Ki Hang Kim.

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Jadur, C., Nasu, M. & Yazlle, J. Permutation Cellular Automata. Acta Appl Math 126, 203–243 (2013). https://doi.org/10.1007/s10440-013-9814-7

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  • DOI: https://doi.org/10.1007/s10440-013-9814-7

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