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A necessary and sufficient condition for a one-dimensional q-state n-input cellular automaton rule to be number-conserving is established. Two different forms of simpler and more visual representations of these rules are given, and their flow diagrams are determined. Various examples are presented and applications to car traffic are indicated. Two nontrivial three-state three-input self-conjugate rules have been found. They can be used to model the dynamics of random walkers.
Wydawca
Czasopismo
Rocznik
Tom
Strony
1--13
Opis fizyczny
wykr., bibliogr. 7 poz.
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autor
autor
- Department of Physics, University of Illinois, Chicago, USA, nboccara@drecam.saclay.cea.fr
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Bibliografia
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bwmeta1.element.baztech-article-BUS2-0004-0042