Hypercyclic Abelian groups of affine maps on \(\mathbb{C}^{n}\) (Q2861264)
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scientific article; zbMATH DE number 6225921
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Hypercyclic Abelian groups of affine maps on \(\mathbb{C}^{n}\) |
scientific article; zbMATH DE number 6225921 |
Statements
12 November 2013
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hypercyclic group
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dense orbit
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affine group
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Hypercyclic Abelian groups of affine maps on \(\mathbb{C}^{n}\) (English)
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The author gives a characterization of hypercyclic abelian group \(\mathcal G\) of affine maps on \(\mathbb C^n\). In the case where \(\mathcal G\) is finitely generated, the characterization is explicit. In particular, no abelian group generated by \(n\) affine maps on \(\mathbb C^n\) can have a dense orbit.
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