Module shifts and measure rigidity in linear cellular automata

DOI10.1017/S0143385708000096zbMath1172.37007arXiv0707.1408OpenAlexW2963279845MaRDI QIDQ3548623

Marcus Pivato

Publication date: 16 December 2008

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0707.1408

zbMATH Keywords

Haar measurelinear cellular automatonmeasure rigidityuniform Bernoulli measurecoset shiftmodule shiftsubgroup shiftsubmodule shift

Mathematics Subject Classification ID

Cellular automata (computational aspects) (68Q80) Dynamical aspects of cellular automata (37B15) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05)

Related Items (2)

Examples of entropy generating sequence ⋮ The ergodic theory of cellular automata

Cites Work

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• Isomorphism and measure rigidity for algebraic actions on zero-dimensional groups
• Mixing and linear equations over groups in positive characteristic
• Invariant measures for certain expansive \(\mathbb{Z}^ 2\)-actions
• Automorphisms of compact groups
• Expansive dynamics on zero-dimensional groups
• Mixing sets and relative entropies for higher-dimensional Markov shifts
• Endomorphisms and automorphisms of the shift dynamical system
• Dynamical systems of algebraic origin

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