Titlebook: Cellular Automata; A Parallel Model M. Delorme,J. Mazoyer Book 1999 Springer Science+Business Media Dordrecht 1999 Automat.algorithmics.alg

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https://doi.org/10.1007/978-3-319-98899-3ules, we construct models parameterized by the interaction range and exhibiting a second-order phase transition. We show that the number of individuals who eventually keep adopting the innovation strongly depends on connectivity between individuals.

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What Is Alternative and Balanced Thinking?,ta, provide a natural setting for the study of cellular automata. For example, we give a simple algorithm to determine reversibility and surjectivity of the global maps. We also comment on Wolfram’s question about the growth rates of the minimal finite state machines associated with iterates of a cellular automaton.

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Optics, Photonics and Laser TechnologyIn this paper we review the techniques developed to prove limitation on the real time recognition ability of Iterative Array and One-way Cellular Automata. The different proofs are based on the same principle which uses equivalence relations and counting arguments.

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What Is Alternative and Balanced Thinking?,We review the dynamic properties of a single automaton with memory.

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Computations on GridsWe study how the underlying graph of dependencies of one dimensional cellular automaton may be used in order to move and compose areas of computations. This allows us to define complex cellular automata, relaxing in some way the inherent synchronism of such networks.

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Computational Complexity of Cellular Automata: An OverviewWe give an overview of the sequential as well as the parallel complexity of cellular automata (also called cellular arrays).

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