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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)


A chaotic function with a scrambled set of positive Lebesgue measure

Author: J. Smítal
Journal: Proc. Amer. Math. Soc. 92 (1984), 50-54
MSC: Primary 26A30; Secondary 58F13
MathSciNet review: 749888
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Abstract: There is a continuous map of the unit interval $ I$ which is chaotic in the sense of Li and Yorke and which has a scrambled set of Lebesgue measure arbitrarily close to 1.

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PII: S 0002-9939(1984)0749888-6
Article copyright: © Copyright 1984 American Mathematical Society

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