EXPANDING MEASURES FOR HOMEOMORPHISMS WITH EVENTUALLY SHADOWING PROPERTY

DOI10.4134/JKMS.J190453zbMath1455.37008OpenAlexW3132930493MaRDI QIDQ5118836

Meihua Dong, Keon-Hee Lee, Ngoc-Thach Nguyen

Publication date: 27 August 2020

Full work available at URL: http://www.koreascience.or.kr:80/article/JAKO202019062608068.pdf

zbMATH Keywords

spectral decompositionexpanding measureeventually shadowing property

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Set functions and measures on topological groups or semigroups, Haar measures, invariant measures (28C10) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20) Dynamics in general topological spaces (37B02) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items (2)

Unnamed Item ⋮ Flows with the weak two-sided limit shadowing property

Cites Work

• On specification and measure expansiveness
• Periodic orbits and expansiveness
• On homeomorphisms with pseudo-orbit tracing property
• Topological stability and spectral decomposition for homeomorphisms on noncompact spaces
• Spectral decomposition for topologically Anosov homeomorphisms on noncompact and non-metrizable spaces
• \(n\)-expansive homeomorphisms with the shadowing property
• Shadowing, thick sets and the Ramsey property
• Orbital shadowing, internal chain transitivity and -limit sets
• Necessary Conditions for Stability of Diffeomorphisms
• Equilibrium states and the ergodic theory of Anosov diffeomorphisms

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