Mathematics – Dynamical Systems

Scientific paper

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2011-04-11

Mathematics

Dynamical Systems

Scientific paper

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 of C^n and b in E such that the closure of any orbit G(z) is equal to H(z-a)+E, z in C^n. In particular, every orbit in E is dense in it. Moreover, if the complementary U=C^n \E is non empty, every orbit of U is minimal in it.

**Ayadi Adlene**

Mathematics – Functional Analysis

Scientist

**N'Dao Yahya**

Mathematics – Dynamical Systems

Scientist

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