Number of nonzero states in prefractal sets generated by cellular automata

DOI10.1063/5.0004652zbMath1458.37021OpenAlexW3087712921MaRDI QIDQ5141047

Takao Namiki, Akane Kawaharada

Publication date: 17 December 2020

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/5.0004652

zbMATH Keywords

spatial patternsRule 150Rule 90Ulam's model

Mathematics Subject Classification ID

Dynamical aspects of cellular automata (37B15)

Related Items (2)

Singular function emerging from one-dimensional elementary cellular automaton rule 150 ⋮ Cellular automata that generate symmetrical patterns give singular functions

Cites Work

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• Ulam's cellular automaton and Rule 150
• On the set of points where Lebesgue's singular function has the derivative zero
• Self-similarity of linear cellular automata
• Sur la théorie de la mesure dans les espaces combinatoires et son application au calcul des probabilités. I. Variables indépendantes
• Time evolution of the rule 150 cellular automaton activity from a Fibonacci iteration
• On Some Singular Monotonic Functions Which Are Strictly Increasing

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