J-class of finitely generated abelian semigroups of affine mpas on C^n and Hypercyclicity

Yahya N'Dao (1)

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

We give a characterization of hypercyclic using (locally hypercyclic) of semigroup G of affine maps of C^n. We prove the existence of a G-invariant open subset of C^n in which any locally hypercyclic orbit is dense in C^n.

Mots clés: Hypercyclic; affine maps; orbit; locally hypercyclic; J-class; dense orbit; semigroup; abelian; subgroup

Domaines: Analyse fonctionnelle [math.FA]

Yahya N'Dao. J-class of finitely generated abelian semigroups of affine mpas on C^n and Hypercyclicity. 2013. ⟨hal-00861709⟩