9 citations · 13 across the 12 of their papers we have counts for
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Hypercyclic Abelian Affine Groups
Adlene Ayadi
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 abeli…
Topological transitive Abelian subgrouns of GL(n,R)
Adlene Ayadi, Habib Marzougui, Ezzeddine Salhi
We give a complete characterization of abelian subgroups of GL(n, R) with a locally dense (resp. dense) orbit in R^n. For finitely generated subgroups, this characterization is exp…
Action of Non Abelian Group Generated by Affine Homotheties on R^n
Adlene Ayadi, Yahya N'Dao
In this paper, we study the action of non abelian group G generated by affine homotheties on R^n. We prove that G satisfies one of the following properties: (i) there exist a subgr…
Hypercyclic Abelian Semigroups of Matrices on
Adlene Ayadi, Habib Marzougui
In this paper, we bring together results about the existence of a somewhere dense (resp. dense) orbit and the minimal number of generators for abelian semigroups of matrices on $\m…
Action of Non Abelian Group Generated by Affine Homotheties on R^n
Adlene Ayadi, Yahya N'Dao
In this paper, we study the action of non abelian group G generated by affine homotheties on R^n. We prove that G satisfies one of the following properties: (i) there exist a subgr…