Semigroups of zero entropy (Q5929768)
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scientific article; zbMATH DE number 1586482
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semigroups of zero entropy |
scientific article; zbMATH DE number 1586482 |
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Semigroups of zero entropy (English)
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25 November 2001
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The author considers semigroups generated by a finite set of \(n\times n\) matrices over a field. Its entropy is the logarithmic growth rate of the number of words of length \(m\) having nonzero product. The author obtains the structure of subgroups of entropy zero and shows that they have polynomial growth.
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linear semigroup
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zero entropy
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logarithmic growth
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