Hypercyclic abelian semigroups of affine maps on Cⁿ

2013/09/06 by Yahya N'Dao, N'Dao, Yahya · 2 citations
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1309.1725

arxiv created 2013/09/06 · arxiv updated 2013/09/09

Abstract

We give a characterization of hypercyclic abelian semigroup G of affine maps on Cⁿ. If G is finitely generated, this characterization is explicit. We prove in particular that no abelian group generated by n affine maps on Cⁿ has a dense orbit.

Cited by

• J-class of finitely generated abelian semigroups of affine mpas on Cⁿ and Hypercyclicity
• Hypercyclicity and k-Transitivity (k>=2) for abelian semigroup of affine maps on Cⁿ

Related

• Hypercyclic Abelian Affine Groups
• J-class of finitely generated abelian semigroups of affine mpas on Cⁿ and Hypercyclicity
• Hypercyclicity and k-Transitivity (k>=2) for abelian semigroup of affine maps on Cⁿ
• Topological generators of abelian Lie groups and hypercyclic finitely generated abelian semigroups of matrices
• Somewhere dense orbit of abelian subgroup of diffeomorphisms maps acting on Cⁿ