Positive entropy through pointwise dynamics

DOI10.1090/proc/14682zbMath1435.37038arXiv1805.07503OpenAlexW2963751601WikidataQ127747635 ScholiaQ127747635MaRDI QIDQ5206207

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Publication date: 18 December 2019

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.07503

zbMATH Keywords

topological entropyshadowing property

Mathematics Subject Classification ID

Topological entropy (37B40) Dynamics in general topological spaces (37B02) Approximate trajectories, pseudotrajectories, shadowing and related notions for topological dynamical systems (37B65)

Related Items (7)

On the entropy of continuous flows with uniformly expansive points and the globalness of shadowable points with gaps ⋮ Stability theorems in pointwise dynamics ⋮ Several dynamics of dynamical systems with the eventual shadowing property ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Measure expansivity and specification for pointwise dynamics ⋮ Persistence and expansivity through pointwise dynamics

Cites Work

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• Shadowing, entropy and minimal subsystems
• Implications of pseudo-orbit tracing property for continuous maps on compacta
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• A note on the uniform limit of transitive dynamical systems
• Properties of shadowable points: chaos and equicontinuity
• \(n\)-expansive homeomorphisms with the shadowing property
• Shadowable points
• Entropy points and applications
• Pointwise Expansion Homeomorphisms
• Differentiable dynamical systems

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