Abstract
We give a characterization of hypercyclic abelian semigroup $\mathcal{G}$ 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.
Citation
Yahya N'dao. "Hypercyclic abelian semigroups of affine maps on $\mathbb{C}^{n}$." Banach J. Math. Anal. 9 (2) 83 - 95, 2015. https://doi.org/10.15352/bjma/09-2-7
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