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|Title:||Algebraic properties of linear cellular automata||Authors:||Le Bruyn, L.
VAN DEN BERGH, Michel
|Issue Date:||1991||Source:||Linear algebra and its applications, 157. p. 217-234||Abstract:||Cellular automata are systems evolving on lattices according to a local transition rule. In this paper we present an algebraic formalism for dealing with cellular automata whose local transition rule satisfies an additivity property. We discuss the phenomenon of self-replication and its connection with higher-order cellular automata and the state transition graph.||Document URI:||http://hdl.handle.net/1942/5743||DOI:||10.1016/0024-3795(91)90116-E||Type:||Journal Contribution|
|Appears in Collections:||Research publications|
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