Non-expansive directions for ℤ2 actions

DOI10.1017/S0143385709001084zbMath1211.37013arXiv0906.0609OpenAlexW3098101189MaRDI QIDQ3074749

Michael Hochman

Publication date: 10 February 2011

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

Full work available at URL: https://arxiv.org/abs/0906.0609

zbMATH Keywords

Lyapunov exponentsshiftcellular automatonnon-expansive direction

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 (9)

The spacetime of a shift endomorphism ⋮ On computing the Lyapunov exponents of reversible cellular automata ⋮ Nonexpansive directions in the Jeandel-Rao Wang shift ⋮ Distortion and the automorphism group of a shift ⋮ Subshifts with sparse traces ⋮ Asymptotic structure in substitution tiling spaces ⋮ Hierarchy and Expansiveness in 2D Subshifts of Finite Type ⋮ Distortion in automorphisms of expansive systems ⋮ Nonexpansive $\mathbb {Z}^2$-subdynamics and Nivat’s Conjecture

Cites Work

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• Lyapunov exponents for one-dimensional cellular automata
• Cellular automata and Lyapunov exponents
• On a zero speed sensitive cellular automaton
• Expansive Subdynamics
• Reliable cellular automata with self-organization

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