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arxiv: 1309.3727 · v1 · pith:C56MMYZCnew · submitted 2013-09-15 · 🧮 math.FA

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

classification 🧮 math.FA
keywords hypercyclicaffinelocallyabeliancharacterizationdenseexistencefinitely
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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.

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