Mixing properties of one-dimensional cellular automata

DOI10.1090/S0002-9939-97-03708-8zbMath0871.47011OpenAlexW1533227406MaRDI QIDQ4336650

Rune Kleveland

Publication date: 13 May 1997

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-97-03708-8

zbMATH Keywords

endomorphismsstrongly mixingmeasure-preservingone-sided shiftCuntz-algebraspace of bi-infinite sequences over a finite set

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Ergodic theory of linear operators (47A35) (C^*)-algebras and (W^*)-algebras in relation to group representations (22D25) General theory of (C^*)-algebras (46L05)

Related Items (6)

The topological pressure of linear cellular automata ⋮ On the Bernoulli automorphism of reversible linear cellular automata ⋮ Remarks on permutive cellular automata. ⋮ Unnamed Item ⋮ Self-Similar Functions Generated by Cellular Automata ⋮ The ergodic theory of cellular automata

Cites Work

• Unnamed Item
• Simple \(C^*\)-algebras generated by isometries
• On ergodic one-dimensional cellular automata
• $C^*$-Algebras Associated with Cellular Automata.
• Endomorphisms of B(H)
• Endomorphisms and automorphisms of the shift dynamical system

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