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Abstrakty
In the paper we consider cellular automata defined on metric spaces (AN, d) or (AZ, d) endowed with the uniform Bernoulli measure ž and present general constructions of such automata which are sur- jective, not positively expansive and ž is the measure of the maximal and positive entropy.
Czasopismo
Rocznik
Tom
Strony
151--164
Opis fizyczny
Bibliogr. 8 poz.
Twórcy
autor
autor
- Jagiellonian University, Institute of Computer Science Nawojki 11, 30-027 Kraków, Poland, forysw@ii.uj.edu.pl
Bibliografia
- [1] Amoroso S., Patt Y.N.; Decision Procedures for Surjectivity and Injectivity of Parallel Maps for Tessellation Structures, Journal of Computer and System Sciences, 6, 1972, pp. 448-464.
- [2] Blanchard F., Kurka P., Maass A.; Topological and Measure-Theoretic Properties of One-Dimensional Cellular Automata, Physica D, 103, 1997, pp. 86-89.
- [3] Blanchard F., Maass A.; Dynamical Properties of Expansive Cellular Automata, Israel Journal of Mathematics, 99, 1997, pp. 149-174.
- [4] Brin M., Stuck G.; Introduction to Dynamical Systems, Cambridge University Press, 2002.
- [5] Goodwyn L.W.; Topological Entropy Bounds Measure-Theoretic Entropy, Proc.Amer. Math. Soc., 23, 1969, pp. 679-688.
- [6] Kurka P.; Languages, Equicontinuity and Attractors in Cellular Automata, Ergodic Theory Dynamical Systems, 17, 1997, pp. 417-433.
- [7] Kurka P.; Topological and Symbolic Dynamics, SMF, Cours Specialises, 2003.
- [8] Rudin W.; Real and Complex Analysis, McGraw-Hill, 1966.Received April 24, 2006
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BUJ5-0005-0027