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Examples of Fast and Slow Convergence of 2D Asynchronous Cellular Systems

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Cellular Automata (ACRI 2008)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5191))

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Abstract

We study the convergence properties of cellular automata under fully asynchronous updating, i.e., when a single cell is selected at random at each time unit. We tackle this question for the two-dimensional totalistic cellular automata. As a first step for studying this class, we focus on a few examples that are, in our view, representative of the diversity of the behaviours found in dimension two. The richness of the evolutions we consider underlines that the updating scheme plays a central role in the evolution of a cellular automaton.

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References

  1. Grilo, C., Correia, L.: Asynchronous Stochastic Dynamics and the Spatial Prisoner’s Dilemma Game. In: Neves, J., Santos, M.F., Machado, J.M. (eds.) EPIA 2007. LNCS (LNAI), vol. 4874. Springer, Heidelberg (2007)

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Author information

Authors and Affiliations

  1. INRIA Nancy Grand-Est – LORIA – MaIA team,  

    Nazim Fatès

  2. IECN - Univ. Nancy I,  

    Lucas Gerin

Authors
  1. Nazim Fatès
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  2. Lucas Gerin
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Editor information

Hiroshi Umeo Shin Morishita Katsuhiro Nishinari Toshihiko Komatsuzaki Stefania Bandini

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© 2008 Springer-Verlag Berlin Heidelberg

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Fatès, N., Gerin, L. (2008). Examples of Fast and Slow Convergence of 2D Asynchronous Cellular Systems. In: Umeo, H., Morishita, S., Nishinari, K., Komatsuzaki, T., Bandini, S. (eds) Cellular Automata. ACRI 2008. Lecture Notes in Computer Science, vol 5191. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-79992-4_24

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  • DOI: https://doi.org/10.1007/978-3-540-79992-4_24

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-79991-7

  • Online ISBN: 978-3-540-79992-4

  • eBook Packages: Computer ScienceComputer Science (R0)

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