Why it is sufficient to consider only the case where the seed of linear cellular automata is 1

DOI10.1016/j.physd.2023.134030arXiv2310.07167OpenAlexW4389953612MaRDI QIDQ6191527

Akane Kawaharada

Publication date: 7 March 2024

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2310.07167

zbMATH Keywords

group actioncellular automatonfractal

Mathematics Subject Classification ID

Theory of computing (68Qxx) Topological dynamics (37Bxx) Connections of general topology with other structures, applications (54Hxx)

Cites Work

• Cellular automata can generate fractals
• Topological and measure-theoretic properties of one-dimensional cellular automata
• Self-similarity of linear cellular automata
• A cellular automaton describing the formation of spatially ordered structures in chemical systems
• Cellular automata, matrix substitutions and fractals
• Singular function emerging from one-dimensional elementary cellular automaton rule 150
• Cellular automata that generate symmetrical patterns give singular functions
• Tessellation structures for reproduction of arbitrary patterns
• Pattern reproduction in tessellation automata of arbitrary dimension
• Simple cellular automata as pseudorandom m -sequence generators for built-in self-test
• Endomorphisms and automorphisms of the shift dynamical system
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