Surjective cellular automata with zero entropy are almost one-to-one

DOI10.1016/J.CHAOS.2011.01.013zbMath1243.37012OpenAlexW2017606799MaRDI QIDQ634916

T. K. Subrahmonia Moothathu

Publication date: 17 August 2011

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2011.01.013

zbMATH Keywords

entropycellular automataalmost one-to-oneuniform Bernoulli measure

Mathematics Subject Classification ID

Dynamical aspects of cellular automata (37B15)

Cites Work

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• Homogeneity of surjective cellular automata
• Topological and measure-theoretic properties of one-dimensional cellular automata
• On computing the entropy of cellular automata.
• On ergodic one-dimensional cellular automata
• Applications of almost one-to-one maps
• Cellular automata and Lyapunov exponents
• Measure rigidity for algebraic bipermutative cellular automata
• Endomorphisms and automorphisms of the shift dynamical system

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