Hypercyclic Abelian Groups of Affine Maps on Cn

被引：2

作者：

Ayadi, Adlene ^{[1
]}

机构：

[1] Univ Gafsa, Fac Sci Gafsa, Dept Math, Gafsa, Tunisia

来源：

CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES | 2013年 / 56卷 / 03期

关键词：

affine; hypercyclic; dense; orbit; affine group; abelian;

D O I：

10.4153/CMB-2012-019-6

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We give a characterization of hypercyclic abelian group g of affine maps on C-n. If g is finitely generated, this characterization is explicit. We prove in particular that no abelian group generated by n affine maps on C-n has a dense orbit.

引用

页码：477 / 490

页数：14

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