Geodesic
Shadowing in actions of some Abelian groups
Sergei Yu. Pilyugin1 ; Sergei B. Tikhomirov1
1 Faculty of Mathematics and Mechanics St. Petersburg State University Bibliotechnaya pl., 2 198904, St. Petersburg, Russia
Fundamenta Mathematicae, Tome 179 (2003) no. 1, pp. 83-96 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We study shadowing properties of continuous actions of the groups ${\mathbb Z}^p$ and ${\mathbb Z}^p\times {\mathbb R}^p$. Necessary and sufficient conditions are given under which a linear action of ${\mathbb Z}^p$ on ${\mathbb C}^m$ has a Lipschitz shadowing property.
DOI : 10.4064/fm179-1-7
Keywords: study shadowing properties continuous actions groups mathbb mathbb times mathbb necessary sufficient conditions given under which linear action mathbb mathbb has lipschitz shadowing property

Sergei Yu. Pilyugin 1 ; Sergei B. Tikhomirov 1

1 Faculty of Mathematics and Mechanics St. Petersburg State University Bibliotechnaya pl., 2 198904, St. Petersburg, Russia 
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Sergei Yu. Pilyugin; Sergei B. Tikhomirov. Shadowing in actions of some Abelian groups. Fundamenta Mathematicae, Tome 179 (2003) no. 1, pp. 83-96. doi: 10.4064/fm179-1-7

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