Dependent sets of a family of relations of full measure on a probability space

DOI10.1007/s11425-007-0025-4zbMath1129.28004OpenAlexW1541818969MaRDI QIDQ995698

Feng Tan, Jie Lü, Jin Cheng Xiong

Publication date: 10 September 2007

Published in: Science in China. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11425-007-0025-4

zbMATH Keywords

chaosdynamical systemprobability spacemeasure-preserving transformationdependent set

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Dynamical aspects of measure-preserving transformations (37A05) Measures and integrals in product spaces (28A35)

Related Items (4)

Dimensions of stable sets and scrambled sets in positive finite entropy systems ⋮ Measure-Theoretical Sensitivity and Scrambled Sets Via Furstenberg Families ⋮ Furstenberg family and chaos ⋮ Measure-Theoretical Sensitivity and Scrambled Sets via Furstenberg Families

Cites Work

• Unnamed Item
• Chaos caused by a strong-mixing measure-preserving transformation
• Chaos in a topologically transitive system
• On Li-Yorke pairs
• Independent sets in topological algebras
• Devaney's chaos or 2-scattering implies Li-Yorke's chaos

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