A chaotic function with a scrambled set of positive Lebesgue measure
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- by J. Smítal PDF
- Proc. Amer. Math. Soc. 92 (1984), 50-54 Request permission
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.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 92 (1984), 50-54
- MSC: Primary 26A30; Secondary 58F13
- DOI: https://doi.org/10.1090/S0002-9939-1984-0749888-6
- MathSciNet review: 749888