Gromov-Hausdorff stability for group actions

DOI10.3934/dcds.2020320zbMath1466.37016OpenAlexW3080434740MaRDI QIDQ1995545

Meihua Dong, Carlos A. Morales, Keon-Hee Lee

Publication date: 24 February 2021

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2020320

zbMATH Keywords

group actionGromov-Hausdorff compact metric space

Mathematics Subject Classification ID

Stability of topological dynamical systems (37B25) Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces (53C23) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Measurable group actions (22F10) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items (2)

Pointed Gromov-Hausdorff topological stability for non-compact metric spaces ⋮ Lipschitz structural stability of group actions with the shadowing property

Cites Work

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• Topological stability from Gromov-Hausdorff viewpoint
• Collapsing of Riemannian manifolds and eigenvalues of Laplace operator
• Groups of polynomial growth and expanding maps. Appendix by Jacques Tits
• Shadowing for actions of some finitely generated groups
• Topological stability and pseudo-orbit tracing property of group actions
• Shadowing in actions of some Abelian groups

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