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http://hdl.handle.net/1942/5743| 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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