Geodesic
Hypercyclic Abelian Groups of Affine Maps on Cn
Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 477-490

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DOI

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.
DOI : 10.4153/CMB-2012-019-6
Mots-clés : 37C85, 47A16, affine, hypercyclic, dense, orbit, affine group, abelian 
Ayadi, Adlene. Hypercyclic Abelian Groups of Affine Maps on Cn. Canadian mathematical bulletin, Tome 56 (2013) no. 3, pp. 477-490. doi: 10.4153/CMB-2012-019-6
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     author = {Ayadi, Adlene},
     title = {Hypercyclic {Abelian} {Groups} of {Affine} {Maps} on {Cn}},
     journal = {Canadian mathematical bulletin},
     pages = {477--490},
     year = {2013},
     volume = {56},
     number = {3},
     doi = {10.4153/CMB-2012-019-6},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2012-019-6/}
}
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