Inverse shadowing in group actions

DOI10.1080/14689367.2016.1173651zbMath1378.37051OpenAlexW2336079217MaRDI QIDQ5278382

Sergei Yu. Pilyugin

Publication date: 19 July 2017

Published in: Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/14689367.2016.1173651

zbMATH Keywords

group actionvirtually nilpotent groupinverse shadowing tube condition

Mathematics Subject Classification ID

Generalizations of solvable and nilpotent groups (20F19) Nilpotent groups (20F18) 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 (6)

Shadowing property of 1-dimensional subsystems for suspension of \(\mathbb{Z}^k\)-actions ⋮ Topological stability and shadowing property for group actions on metric spaces ⋮ Unnamed Item ⋮ Inverse shadowing in actions of a Baumslag-Solitar group ⋮ Unnamed Item ⋮ Topological stability and pseudo-orbit tracing property of group actions

Cites Work

• Theory of pseudo-orbit shadowing in dynamical systems
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Inverse shadowing by continuous methods
• Approximate and real trajectories for generic dynamical systems
• Shadowing for actions of some finitely generated groups
• Shadowing in actions of some Abelian groups

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