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Hypercyclicity and k-Transitivity (k>=2) for abelian semigroup of affine maps on C^n
Yahya N'Dao
In this paper, we prove that the minimal number of affine maps on C^n, required to form a hypercyclic abelian semigroup on C^n is n+1. We also prove that the action of any abelian…
Hypercyclic abelian semigroups of affine maps on C^n
Yahya N'Dao
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 a…
Complex dimension of additive subgroups of R^{n}
Yahya N'Dao, Adlene Ayadi
In this paper, we define the complex dimension of any additive subgroup of R^{n}$which generalize the euclidien dimension given for the vector space. We give an explicit method to…
Somewhere dense orbit of abelian subgroup of diffeomorphisms maps acting on C^n
Yahya N'Dao, Adlene Ayadi
In this paper, we give a characterization for any abelian subgroup G of a lie group of diffeomorphisms maps of C^n, having a somewhere dense orbit G(x), x in C^n: G(x) is somewhere…
-chaoticity and regular action of abelian -diffeomorphisms groups of fixing a point
Yahya N'Dao, Ayadi Adlene
In this paper, we introduce the notion of regular action of any abelian subgroup G of $Diff^{1}(C^n) on C^n (i.e. the closure of every orbit of G in some open set is a topological…
On the dynamic of holomorphic diffeomorphisms groups fixing a commune point, on C^n
Yahya N'Dao, Adlene Ayadi
In this paper, we study the action on C^n of any group G of holomorphic diffeomorphisms (automorphisms) of C^n fixing 0. Suppose that there is x in C^n, having an orbit which gener…
Dynamics of non abelian affine homotheties group of C^n
Yahya N'Dao, Adlene Ayadi
In this paper we study the action of non abelian subgroup G generated by affine homotheties on C^n. We prove that there exist a subgroup H of C\{0}, a G-invariant affine subspace E…
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…
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…