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Hypercyclicity and k-Transitivity (k>=2) for abelian semigroup of affine maps on C^n

Published 6 Sep 2013 in math.DS | (1309.1760v1)

Abstract: In this paper, we prove that the minimal number of affine maps on Cn, required to form a hypercyclic abelian semigroup on Cn is n+1. We also prove that the action of any abelian group finitely generated by affine maps on Cn, is never k-transitive for k>=2.

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Authors (1)

  1. Yahya N'Dao 

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