\(\sigma\)-Automata and Chebyshev-polynomials (Q1978501)
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scientific article; zbMATH DE number 1454281
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | \(\sigma\)-Automata and Chebyshev-polynomials |
scientific article; zbMATH DE number 1454281 |
Statements
\(\sigma\)-Automata and Chebyshev-polynomials (English)
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4 June 2000
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A \(\sigma\)-automaton is an additive, binary cellular automaton on a graph. For product graphs such as grids and cylinders, reversibility and periodicity properties of the corresponding \(\sigma\)-automaton can be expressed in terms of a binary version of Chebyshev polynomials. We give a detailed analysis of the divisibility properties of these polynomials and apply our results to the study of \(\sigma\)-automata.
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Additive cellular automata
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Binary Chebyshev polynomials
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Shift register sequences
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