Hypercyclic Abelian Affine Groups
Dynamical Systems
2011-03-25 v4
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.
Cite
@article{arxiv.1012.4901,
title = {Hypercyclic Abelian Affine Groups},
author = {Adlene Ayadi},
journal= {arXiv preprint arXiv:1012.4901},
year = {2011}
}