HYPERCYCLIC ABELIAN AFFINE GROUPS

Adlene Ayadi (1)

1 Systèmes dynamiques et combinatoire:99UR15-15

In this paper, we give a characterization of hypercyclic abelian affine group G. 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 action; hypercyclic; dense; orbit; group; abelian; transitive

Domaines: Systèmes dynamiques [math.DS]

Adlene Ayadi. HYPERCYCLIC ABELIAN AFFINE GROUPS. 2011. ⟨hal-00549263v4⟩