Adlene Ayadi
Published 2010-12-22, updated 2011-03-23Version 4
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.
Hypercyclic abelian semigroups of affine maps on C^n
Hypercyclicity and k-Transitivity (k>=2) for abelian semigroup of affine maps on C^n
Note on the points with dense orbit under $\times 2$ and $\times 3$ maps
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