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arXiv · 1309.1725

Hypercyclic abelian semigroups of affine maps on C^n

Yahya N'Dao
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Abstract

We give a characterization of hypercyclic abelian semigroup G of affine maps on C^n. 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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Yahya N'Dao. 2013-09-06. Hypercyclic abelian semigroups of affine maps on C^n. https://arxiv.org/abs/1309.1725

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