Hypercyclic Abelian Groups of Affine Maps on $mathbb{C}^{n}$

Canadian mathematical bulletin

Adlene Ayadi¹ 

[1] Department of Mathematics, Faculty of Sciences of Gafsa, University of Gafsa, Gafsa, Tunisia

关键词: affine;    hypercyclic;    dense;    orbit;    affine group;    abelian;   

DOI  :  10.4153/CMB-2012-019-6

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

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 provein particular that no abelian group generated by $n$ affine maps on $mathbb{C}^{n}$ has a dense orbit.

【 授权许可】

Unknown