Hypercyclic abelian semigroups of affine maps on \(\mathbb{C}^{n}\) (Q2341428)

The author studies abelian semigroups of affine maps on \(\mathbb{C}^{n}\), \(n\geq 1\), from the point of view of linear dynamics. The main purpose of the paper is to characterize when such a semigroup \(\mathcal{G}\) is hypercyclic, i.e., when there exists a vector \(v\in\mathbb{C}^{n}\) such that the set \(\mathcal{G}v\) is dense in \(\mathbb{C}^{n}\).