Cellular automata and powers of p∕q

DOI10.1051/ita/2017014zbMath1432.11081arXiv1710.05737OpenAlexW2963316296WikidataQ62045875 ScholiaQ62045875MaRDI QIDQ4638264

Johan Kopra, Jarkko Kari

Publication date: 4 May 2018

Published in: RAIRO - Theoretical Informatics and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1710.05737

zbMATH Keywords

cellular automataergodicitystrongly mixingdistribution modulo 1Z-numbers

Mathematics Subject Classification ID

Ergodicity, mixing, rates of mixing (37A25) Cellular automata (computational aspects) (68Q80) Distribution modulo one (11J71)

Related Items (4)

On computing the Lyapunov exponents of reversible cellular automata ⋮ Rapid left expansivity, a commonality between Wolfram's rule 30 and powers of \(p/q\) ⋮ On the Interplay of Direct Topological Factorizations and Cellular Automata Dynamics on Beta-Shifts ⋮ On the trace subshifts of fractional multiplication automata

Cites Work

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• Universal pattern generation by cellular automata
• Powers of rationals modulo 1 and rational base number systems
• Cellular Automata, the Collatz Conjecture and Powers of 3/2
• On the powers of 3/2 and other rational numbers
• On the range of fractional parts {ξ(p/q)ⁿ}
• An unsolved problem on the powers of 3/2
• Endomorphisms and automorphisms of the shift dynamical system

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