We give a characterization of hypercyclic abelian semigroup G of affine maps on C^n. If G is finitely generated, this characterization is explicit. We prove in particular that no abelian group generated by n affine maps on C^n has a dense orbit.
Hypercyclic Abelian Semigroups of Matrices on $\mathbb{R}^n$
Hypercyclicity and k-Transitivity (k>=2) for abelian semigroup of affine maps on C^n
Hypercyclic Abelian Affine Groups
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