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
Algebraic properties of linear cellular automata
β Scribed by L. Le Bruyn; M. Van den Bergh
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 919 KB
- Volume
- 157
- Category
- Article
- ISSN
- 0024-3795
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π SIMILAR VOLUMES
We give an explicit and efficiently computable formula for the inverse of D-dimensional linear cellular automata over Z m (D 1, m 2). We use this formula to get an easy-to-check necessary and sufficient condition for an invertible one-dimensional linear CA to be expansive, and we prove that this con
In this paper we introduce a new quantum computation model, the linear quantum cellular automaton. Well-formedness is an essential property for any quantum computing device since it enables us to define the probability of a configuration in an observation as the squared magnitude of its amplitude. W