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Proceedings of the American Mathematical Society

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A chaotic function possessing a scrambled set with positive Lebesgue measure


Author: I. Kan
Journal: Proc. Amer. Math. Soc. 92 (1984), 45-49
MSC: Primary 26A30; Secondary 58F13
DOI: https://doi.org/10.1090/S0002-9939-1984-0749887-4
MathSciNet review: 749887
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Abstract: A continuous function, chaotic in the sense of Li and Yorke, is constructed which possesses a scrambled set of positive Lebesgue measure.


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DOI: https://doi.org/10.1090/S0002-9939-1984-0749887-4
Keywords: Chaos, scrambled sets
Article copyright: © Copyright 1984 American Mathematical Society