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Cellular automata and multifractals: Dimension spectra of linear cellular automata

✍ Scribed by Satoshi Takahashi


Publisher
Elsevier Science
Year
1990
Tongue
English
Weight
725 KB
Volume
45
Category
Article
ISSN
0167-2789

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Attractors of Linear Cellular Automata
✍ Giovanni Manzini; Luciano Margara πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 147 KB

In this paper we study the asymptotic behavior of D-dimensional linear cellular automata over the ring Z m (D 1, m 2). In the first part of the paper we consider nonsurjective cellular automata (CA). We prove that, after a transient phase of length at most wlog 2 mx, the evolution of a linear nonsur