TOPOLOGICAL PRESSURE OF POINCARÉ RECURRENCE SET

DOI10.1142/S0218348X21502042zbMath1489.37019OpenAlexW3178777806MaRDI QIDQ5025342

Ercai Chen, Yu Pei, Kui Yao

Publication date: 1 February 2022

Published in: Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218348x21502042

zbMATH Keywords

Poincaré recurrencetopological pressurespecification propertyMoran fractal

Mathematics Subject Classification ID

Fractals (28A80) Topological entropy (37B40) Gradient-like behavior; isolated (locally maximal) invariant sets; attractors, repellers for topological dynamical systems (37B35) Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Dimension theory of smooth dynamical systems (37C45) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

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• On the variational principle for the topological entropy of certain non-compact sets
• Recurrence spectrum in smooth dynamical systems
• Topological Entropy for Noncompact Sets
• On the topological entropy of saturated sets

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