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arXiv · 1012.4901

Hypercyclic Abelian Affine Groups

Adlene Ayadi
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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 C^n has a dense orbit.

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Adlene Ayadi. 2011-03-23. Hypercyclic Abelian Affine Groups. https://arxiv.org/abs/1012.4901

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