Shadowing in actions of some Abelian groups

DOI10.4064/FM179-1-7zbMath1047.37014OpenAlexW2030131786MaRDI QIDQ4811300

Sergey B. Tikhomirov, Sergei Yu. Pilyugin

Publication date: 19 August 2004

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: http://journals.impan.gov.pl/fm/Inf/179-1-7.html

zbMATH Keywords

group actionhyperbolicityshadowingexpansivitypseudotrajectory

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) General theory of group and pseudogroup actions (22F05)

Related Items (19)

Inverse shadowing in group actions ⋮ Shadowing vs. distality for actions of ℝⁿ ⋮ Generic properties of \(\mathbb Z^{2}\)-actions on the interval ⋮ Shadowing and mixing on systems of countable group actions ⋮ Unnamed Item ⋮ Shadowing with multidimensional time in Banach spaces ⋮ Lipschitz structural stability of group actions with the shadowing property ⋮ Theory of pseudo-orbit shadowing in dynamical systems ⋮ Shadowing property of 1-dimensional subsystems for suspension of \(\mathbb{Z}^k\)-actions ⋮ Gromov-Hausdorff distances for dynamical systems ⋮ Topological stability and shadowing property for group actions on metric spaces ⋮ Gromov-Hausdorff stability for group actions ⋮ Shadowing properties for weakly hyperbolic \(\mathbb{Z}^d\)-actions ⋮ Analogues of Takens theorems for generalized actions of the group \(\mathbb{Z}^\infty\) ⋮ Unnamed Item ⋮ Inverse shadowing in actions of a Baumslag-Solitar group ⋮ Shadowing for families of endomorphisms of generalized group shifts ⋮ Topological stability and pseudo-orbit tracing property of group actions ⋮ Shadowing for actions of some finitely generated groups

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