9 citations · 13 across the 12 of their papers we have counts for
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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…
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…
Regularity action of abelian linear groups on C^n
Adlene Ayadi, Ezzeddine Salhi
In this paper, we give a characterization of the action of any abelian subgroup G of GL(n, C) on C^n. We prove that any orbit of G is regular with order m<=2n. Moreover, we give a…
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…
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…