Hypercyclic Abelian Affine Groups

Details Hypercyclic Abelian Affine Groups Hypercyclic Abelian Affine Groups

2010-12-22

arxiv.org/abs/1012.4901v4

Mathematics

Dynamical Systems

Scientific paper

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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