On the measure entropy of additive cellular automata \(f_\infty\)

DOI10.3390/e5020233zbMath1062.37005OpenAlexW2105288051MaRDI QIDQ1769736

Hasan Akin

Publication date: 22 March 2005

Published in: Entropy (Search for Journal in Brave)

Full work available at URL: http://www.mdpi.org/entropy/htm/e5020233.htm

zbMATH Keywords

cellular automatatopological entropymeasure-theoretic entropy

Mathematics Subject Classification ID

Entropy and other invariants, isomorphism, classification in ergodic theory (37A35) Dynamical aspects of cellular automata (37B15) Topological entropy (37B40)

Related Items (10)

UPPER BOUND OF THE DIRECTIONAL ENTROPY OF A ℤ²-ACTION ⋮ The topological pressure of linear cellular automata ⋮ On cellular automata over Galois rings ⋮ The Entropy and Reversibility of Cellular Automata on Cayley Tree ⋮ AN UPPER BOUND OF THE DIRECTIONAL ENTROPY WITH RESPECT TO THE MARKOV MEASURES ⋮ The topological entropy of invertible cellular automata ⋮ The topological entropy of \(n\)th iteration of an additive cellular automata ⋮ On the topological directional entropy ⋮ On the directional entropy of \(\mathbb Z^2\)-actions generated by additive cellular automata ⋮ The measure-theoretic entropy and topological entropy of actions over \(\mathbb{Z}_m\)

Cites Work

• Unnamed Item
• Ergodic properties of certain surjective cellular automata
• Additive one-dimensional cellular automata are chaotic according to Devaney's definition of chaos
• On computing the entropy of cellular automata.
• Additive cellular automata and volume growth
• Statistical mechanics of cellular automata
• Endomorphisms and automorphisms of the shift dynamical system

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