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math.DS2013
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…
math.DS2013
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…
math.DS2013
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…