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Criterion of Infinite Topological Entropy for Multidimensional Cellular Automata

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Abstract

The paper proves the infinity of the topological entropy for a wide class of multi-dimensional cellular automata, namely, automata with spaceships.

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REFERENCES

  1. Eppstein, D., Searching for Spaceships, MSRI Lectures, July 2000. Available from http://www.msri.org/publications/ln/msri/2000/gametheory/eppstein/1/.

  2. D'amico, M., Manzini, G., and Margara, L., On Computing the Entropy of Cellular Automata, Theor. Comp. Sci., 2003, vol. 290, pp. 1629–1646.

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  3. Katok, A.B. and Hasselblatt, B., Introduction to the Modern Theory of Dynamical Systems, Encyclopedia of Mathematics and Its Applications, vol. 54, Cambridge: Cambridge Univ. Press, 1995. Translated under the title Vvedenie v sovremennuyu teoriyu dinamicheskikh sistem, Moscow: Faktorial, 1999.

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Authors and Affiliations

  1. Moscow State University, Russia

    E. L. Lakshtanov & E. S. Langvagen

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  1. E. L. Lakshtanov
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  2. E. S. Langvagen
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Lakshtanov, E.L., Langvagen, E.S. Criterion of Infinite Topological Entropy for Multidimensional Cellular Automata. Problems of Information Transmission 40, 165–167 (2004). https://doi.org/10.1023/B:PRIT.0000043929.26267.14

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  • DOI: https://doi.org/10.1023/B:PRIT.0000043929.26267.14

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