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Geometry and dynamics of the Besicovitch and Weyl spaces

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (2012) 7410 LNCS 465-470
DOI: 10.1007/978-3-642-31653-1_42
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Abstract

We study the geometric properties of Cantor subshifts in the Besicovitch space, proving that sofic shifts occupy exactly the homotopy classes of simplicial complexes. In addition, we study continuous functions that locally look like cellular automata and present a new proof for the nonexistence of transitive cellular automata in the Besicovitch space. © 2012 Springer-Verlag.

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Salo, V., & Törmä, I. (2012). Geometry and dynamics of the Besicovitch and Weyl spaces. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 7410 LNCS, pp. 465–470). https://doi.org/10.1007/978-3-642-31653-1_42

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