The spectrum of Poincaré recurrence

DOI10.1017/S0143385707001095zbMath1213.37025MaRDI QIDQ3548622

Ka-Sing Lau, Lin Shu

Publication date: 16 December 2008

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

zbMATH Keywords

topological entropyPoincaré recurrence

Mathematics Subject Classification ID

Topological entropy (37B40) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Related Items (9)

Zero-one law of Hausdorff dimensions of the recurrent sets ⋮ The upper capacity topological entropy of free semigroup actions for certain non-compact sets ⋮ A remark on exceptional sets in Erdös-Rényi limit theorem ⋮ The multifractal spectra for the recurrence rates of beta-transformations ⋮ Dimensions of recurrent sets in \(\beta\)-symbolic dynamics ⋮ Mean Li-Yorke chaotic set along polynomial sequence with full Hausdorff dimension for \(\beta\)-transformation ⋮ A construction of multiply Xiong chaotic set with full topological entropy for \(\beta\)-transformation ⋮ Eulerian entropy and non-repetitive subword complexity ⋮ TOPOLOGICAL PRESSURE OF POINCARÉ RECURRENCE SET

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