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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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DOI: http://dx.doi.org/10.1090/S0002-9939-1984-0749888-6
Article copyright: © Copyright 1984 American Mathematical Society