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Erschienen in:
2011 | OriginalPaper | Buchkapitel
Self-organization in Cellular Automata: A Particle-Based Approach
verfasst von : Benjamin Hellouin de Menibus, Mathieu Sablik
Erschienen in: Developments in Language Theory
Verlag: Springer Berlin Heidelberg
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For some classes of cellular automata, we observe empirically a phenomenon of self-organization: starting from a random configuration, regular strips separated by defects appear in the space-time diagram. When there is no creation of defects, all defects have the same direction after some time. In this article, we propose to formalise this phenomenon. Starting from the notion of propagation of defect by a cellular automaton formalized in [Piv07b, Piv07a], we show that, when iterating the automaton on a random configuration, defects in one direction only remain asymptotically.