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Shadowing in actions of some Abelian groups

Sergei Yu. Pilyugin; Sergei B. Tikhomirov — 2003

Fundamenta Mathematicae

We study shadowing properties of continuous actions of the groups $ℤ^{p}$ and $ℤ^{p} \times ℝ^{p}$ . Necessary and sufficient conditions are given under which a linear action of $ℤ^{p}$ on $ℂ^{m}$ has a Lipschitz shadowing property.

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