Hypercyclicity and k-Transitivity (k>=2) for abelian semigroup of affine maps on C^n
Dynamical Systems
2013-09-10 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1309.1760,
title = {Hypercyclicity and k-Transitivity (k>=2) for abelian semigroup of affine maps on C^n},
author = {Yahya N'Dao},
journal= {arXiv preprint arXiv:1309.1760},
year = {2013}
}
Comments
arXiv admin note: substantial text overlap with arXiv:1309.1725