J-class of finitely generated abelian semigroups of affine mpas on C^n and Hypercyclicity

Abstract

We give a characterization of hypercyclic using (locally hypercyclic) of semigroup G of affine maps of C^n. We prove the existence of a G-invariant open subset of C^n in which any locally hypercyclic orbit is dense in C^n.

arXiv commentarXiv admin note: text overlap with arXiv:1012.4901, arXiv:1105.1473, arXiv:1309.1725, arXiv:1309.1760