Hypercyclic Abelian Affine Groups

2010/12/22 by Adlene Ayadi, Ayadi, Adlene · 1 citation
Mathematics · #Dynamical Systems (math.DS) #FOS: Mathematics #math.DS

paper · pdf · doi:10.48550/arxiv.1012.4901

arxiv created 2011/03/23 · arxiv updated 2011/03/25

Abstract

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 abelian group generated by n affine maps on Cⁿ has a dense orbit.

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• J-class of finitely generated abelian semigroups of affine mpas on Cⁿ and Hypercyclicity

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