Stability of subshifts in cellular automata

Issue title: Cellular Automata

Article type: Research Article

Authors: Kůrka, Petr | Maass, Alejandro

Affiliations: Faculty of Mathematics and Physics, Charles University in Prague, Malostranské nám. 25, CZ-11800 Praha 1, Czechia | Departamento de Ingeniería Matemática, Universidad de Chile, casilla 170/3 correo 3, Santiago, Chile

Abstract: We show relations between several concepts of stability based on topological and measure-theoretical concepts in the Cantor and Besicovitch topological spaces. These concepts elucidate the behavior of cellular automata in which successively larger and larger regions are homogenized.

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Journal: Fundamenta Informaticae, vol. 52, no. 1-3, pp. 143-155, 2002