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Directional entropies of cellular automaton-maps. Reprint of the 1986 hardback original. (English) Zbl 1330.37015

Bienenstock, E. (ed.) et al., Disordered systems and biological organization. Proceedings of the NATO advanced research workshop on disordered systems and biological organization held at Les Houches, France, February 25 – March 8, 1985. Berlin: Springer (ISBN 978-3-642-82659-7/pbk; 978-3-642-82657-3/ebook). Nato ASI Series. Series F. Computer and Systems Sciences 20, 113-115 (1986).
From the text: This note will describe an \(n\)-dimensional directional entropy function which takes finite values, and hence measures possibly useful properties of the map \(f\), even in the higher dimensional case. This directional entropy generalizes not only the topological entropy of \(f\) itself, but also the entropies of compositions of \(f\) with lattice translations. To see the usefulness of such compositions, we consider two rather trivial examples.
For the entire collection see [Zbl 1283.37006].

MSC:

37B15 Dynamical aspects of cellular automata
37B40 Topological entropy
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