Titlebook: Cellular Automata and Modeling of Complex Physical Systems; Proceedings of the W Paul Manneville,Nino Boccara,Roger Bidaux Conference proce

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Scaling Properties of a Family of Transformations Defined on Cellular Automaton Rulesllular automaton is unchanged under these transformations. For class-3 cellular automata, the probability distribution of the asymptotic density of nonzero-value sites satisfies a simple scaling property.

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Springer Proceedings in Physicshttp://image.papertrans.cn/c/image/222996.jpg

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https://doi.org/10.1007/978-3-322-86023-1n the context of Potts and Bounded Threshold Automata. For Potts automata we exhibit a class that has a complex dynamics, i.e. the automaton simulates any logical function by coding binary information as gliders in a one-dimensional cellular space. On the other hand, we characterize another class wh

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https://doi.org/10.1007/978-3-322-86023-1llular automaton is unchanged under these transformations. For class-3 cellular automata, the probability distribution of the asymptotic density of nonzero-value sites satisfies a simple scaling property.

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https://doi.org/10.1007/978-3-322-86024-8logy for probability measures to the theorem by Wolfram stating that the finite time sets are regular languages. The exact time evolution of the probability measure and the evolution of quantities measuring randomness and complexity are calculated in some examples. We also introduce a new approximat

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Die Darstellung organisierter Interessento assess the extent to which a simple mean-field approximation of cellular automata (CA) is valid. The focus is put on the order of the transition and the existence of universality classes for space dimensions 1 < . < 4. In particular, our numerical results show significant discrepancies with the c