Open Access
October, 2000 Expansive invertible onesided cellular automata
Mike BOYLE, Alejandro MAASS
J. Math. Soc. Japan 52(4): 725-740 (October, 2000). DOI: 10.2969/jmsj/05240725

Abstract

We study expansive invertible onesided cellular automata (i.e., expansive automorphisms of onesided full shifts) and find severe dynamical and arithmetic constraints which provide partial answers to questions raised by M. Nasu [N2]. We employ the images and bilateral dimension groups, measure multipliers, and constructive combinatorial characterizations for two classes of cellular automata.

Citation

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Mike BOYLE. Alejandro MAASS. "Expansive invertible onesided cellular automata." J. Math. Soc. Japan 52 (4) 725 - 740, October, 2000. https://doi.org/10.2969/jmsj/05240725

Information

Published: October, 2000
First available in Project Euclid: 10 June 2008

zbMATH: 0970.37012
MathSciNet: MR1774627
Digital Object Identifier: 10.2969/jmsj/05240725

Subjects:
Primary: 37B15
Secondary: 37B10

Keywords: cellular automata , dimension group , expansive , shift of finite type , symbolic dynamics

Rights: Copyright © 2000 Mathematical Society of Japan

Vol.52 • No. 4 • October, 2000
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