Measure-Theoretical Sensitivity and Scrambled Sets via Furstenberg Families

DOI10.1080/1726037X.2008.10698556zbMath1211.37010OpenAlexW4253538599MaRDI QIDQ3626051

Huoyun Wang, Hongying Wu

Publication date: 22 May 2009

Published in: Journal of Dynamical Systems and Geometric Theories (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/1726037x.2008.10698556

zbMATH Keywords

sensitivityweakly mixingscrambled setFurstenberg family

Mathematics Subject Classification ID

Dynamical systems involving transformations and group actions with special properties (minimality, distality, proximality, expansivity, etc.) (37B05) Topological properties of mappings on manifolds (58K15) Notions of recurrence and recurrent behavior in topological dynamical systems (37B20)

Cites Work

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• Measure-theoretical sensitivity and equicontinuity
• Furstenberg families and sensitivity
• Dependent sets of a family of relations of full measure on a probability space
• Chaos via Furstenberg family couple
• Proximity and distality via Furstenberg families
• On the nature of turbulence
• On pairwise sensitivity
• Sensitive dependence on initial conditions
• Li–Yorke sensitivity

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