Shadowing in actions of some Abelian groups

被引：26
|
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
收藏
页码：83 / 96
页数：14
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