arXiv Analytics

Sign in

arXiv:1309.1760 [math.DS]AbstractReferencesReviewsResources

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

Yahya N'Dao

Published 2013-09-06Version 1

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

Comments: arXiv admin note: substantial text overlap with arXiv:1309.1725
Categories: math.DS
Related articles: Most relevant | Search more
arXiv:1309.1725 [math.DS] (Published 2013-09-06)
Hypercyclic abelian semigroups of affine maps on C^n
arXiv:1010.5915 [math.DS] (Published 2010-10-28, updated 2021-01-26)
Hypercyclic Abelian Semigroups of Matrices on $\mathbb{R}^n$
arXiv:1612.06449 [math.DS] (Published 2016-12-19)
Origami, affine maps, and complex dynamics

Links

Toolbox