Hypercyclic abelian semigroups of affine maps on C^n

Yahya N'Dao (1)

1 the research unit: systèmes dynamiques et combinatoire: 99UR15-15

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.

Mots clés: affine; hypercyclic; dense; orbit; abelian semigroup

Domaines: Systèmes dynamiques [math.DS]

Yahya N'Dao. Hypercyclic abelian semigroups of affine maps on C^n. 2013. ⟨hal-00859335⟩