Shadowing in actions of some Abelian groups

Sergei Yu. Pilyugin, and Sergei B. Tikhomirov. "Shadowing in actions of some Abelian groups." Fundamenta Mathematicae 179.1 (2003): 83-96. <http://eudml.org/doc/282823>.

@article{SergeiYu2003,
abstract = {We study shadowing properties of continuous actions of the groups $ℤ^p$ and $ℤ^p × ℝ^p$. Necessary and sufficient conditions are given under which a linear action of $ℤ^p$ on $ℂ^m$ has a Lipschitz shadowing property.},
author = {Sergei Yu. Pilyugin, Sergei B. Tikhomirov},
journal = {Fundamenta Mathematicae},
keywords = {pseudotrajectory; shadowing; group action; hyperbolicity; expansivity},
language = {eng},
number = {1},
pages = {83-96},
title = {Shadowing in actions of some Abelian groups},
url = {http://eudml.org/doc/282823},
volume = {179},
year = {2003},
}

TY - JOUR
AU - Sergei Yu. Pilyugin
AU - Sergei B. Tikhomirov
TI - Shadowing in actions of some Abelian groups
JO - Fundamenta Mathematicae
PY - 2003
VL - 179
IS - 1
SP - 83
EP - 96
AB - We study shadowing properties of continuous actions of the groups $ℤ^p$ and $ℤ^p × ℝ^p$. Necessary and sufficient conditions are given under which a linear action of $ℤ^p$ on $ℂ^m$ has a Lipschitz shadowing property.
LA - eng
KW - pseudotrajectory; shadowing; group action; hyperbolicity; expansivity
UR - http://eudml.org/doc/282823
ER -