Shadowing, thick sets and the Ramsey property

DOI10.1017/ETDS.2014.130zbMath1367.37028OpenAlexW2096067261MaRDI QIDQ2828035

Piotr Oprocha

Publication date: 24 October 2016

Published in: Ergodic Theory and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/etds.2014.130

zbMATH Keywords

shadowing propertyRamsey propertychain-recurrent set

Mathematics Subject Classification ID

Generalized Ramsey theory (05C55) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (14)

On averaged tracing of periodic average pseudo orbits ⋮ Ultrafilters and Ramsey-type shadowing phenomena in topological dynamics ⋮ Shadowing as a structural property of the space of dynamical systems ⋮ Shadowing, internal chain transitivity and \(\alpha \)-limit sets ⋮ Expansivity and unique shadowing ⋮ Orbital shadowing, internal chain transitivity and -limit sets ⋮ On genericity of shadowing in one dimension ⋮ A note on \(\mathcal{F}_s\)-shadowing property ⋮ Eventually shadowable points ⋮ Preservation of shadowing in discrete dynamical systems ⋮ When is the beginning the end? On full trajectories, limit sets and internal chain transitivity ⋮ EXPANDING MEASURES FOR HOMEOMORPHISMS WITH EVENTUALLY SHADOWING PROPERTY ⋮ Orbital shadowing, \(\omega\)-limit sets and minimality ⋮ Shadowing, ergodic shadowing and uniform spaces

Cites Work

• Unnamed Item
• Syndetically proximal pairs
• On shadowing: ordinary and ergodic
• Sub-shadowings
• Stability theorems and hyperbolicity in dynamical systems
• On partial shadowing of complete pseudo-orbits
• Chain recurrence rates and topological entropy
• Li–Yorke sensitivity
• An Introduction to Symbolic Dynamics and Coding

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