Article contents
Hypercyclic Abelian Groups of Affine Maps on ℂn
Published online by Cambridge University Press: 20 November 2018
Abstract.
We give a characterization of hypercyclic abelian group $\mathcal{G}$ of affine maps on ${{\mathbb{C}}^{n}}$. If $\mathcal{G}$ is finitely generated, this characterization is explicit. We prove in particular that no abelian group generated by $n$ affine maps on ${{\mathbb{C}}^{n}}$ has a dense orbit.
- Type
- Research Article
- Information
- Copyright
- Copyright © Canadian Mathematical Society 2013
References
- 1
- Cited by