Contours, convex sets and cellular automata. IMPA mathematical publications. 23rd Brazilian mathematics colloquium, Rio de Janeiro, Brazil, July 22--27, 2001. (Q2748516)

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scientific article; zbMATH DE number 1659895
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Contours, convex sets and cellular automata. IMPA mathematical publications. 23rd Brazilian mathematics colloquium, Rio de Janeiro, Brazil, July 22--27, 2001.
scientific article; zbMATH DE number 1659895

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    16 October 2001
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    interacting particles
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    cellular automata
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    contours
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    convex sets
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    Ising models
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    Contours, convex sets and cellular automata. IMPA mathematical publications. 23rd Brazilian mathematics colloquium, Rio de Janeiro, Brazil, July 22--27, 2001. (English)
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    The book considers models of randomly interacting particles widely known as cellular automata. These models have a nice physical appealing and can be applied to several real systems. The author puts them on firm rigorous definitions. Several important results are proven while open problems are also pointed out. The method of contours, convex sets and algorithms are the main mathematical tools used along the work. It is a nice reading for both pure and applied mathematicians, as well as for theoretical physicists and computer scientists.
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