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arxiv: 1012.4901 · v4 · pith:JPIIMIDInew · submitted 2010-12-22 · 🧮 math.DS

Hypercyclic Abelian Affine Groups

classification 🧮 math.DS
keywords abelianaffinecharacterizationgeneratedgrouphypercyclicdenseexplicit
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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 C^n has a dense orbit.

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