Ergodicity, transitivity, and regularity for linear cellular automata over \(\mathbb{Z}_m\) (Q1575952)
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scientific article; zbMATH DE number 1495225
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Ergodicity, transitivity, and regularity for linear cellular automata over \(\mathbb{Z}_m\) |
scientific article; zbMATH DE number 1495225 |
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Ergodicity, transitivity, and regularity for linear cellular automata over \(\mathbb{Z}_m\) (English)
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23 August 2000
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The authors study finite-dimensional linear cellular automata over the integers modulo \(m\), from an ergodic-theoretic angle. They provide necessary and sufficient conditions for ergodicity and topological transitivity, and show that in the one-dimensional case, the denseness of periodic orbits is equivalent to surjectivity.
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linear cellular automata
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ergodicity
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topological transitivity
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denseness of periodic orbits
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surjectivity
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