Shadowing in actions of some Abelian groups

被引：27

作者：

Pilyugin, SY ^{[1
]}

Tikhomirov, SB ^{[1
]}

机构：

[1] St Petersburg State Univ, Fac Math & Mech, St Petersburg 198904, Russia

来源：

FUNDAMENTA MATHEMATICAE | 2003年 / 179卷 / 01期

关键词：

pseudotrajectory; shadowing; group action; hyperbolicity; expansivity;

D O I：

10.4064/fm179-1-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study shadowing properties of continuous actions of the groups Z(p) and Z(p) x R-p. Necessary and sufficient conditions are given under which a linear action of Z(p) on C-m has a Lipschitz shadowing property.

引用

页码：83 / 96

页数：14

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