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Large chaos in smooth functions of zero topological entropy
Published online by Cambridge University Press: 17 April 2009
Abstract
For any α ∈ (0, 1), examples of C∞ functions fα: [0, 1] → [0, 1] with zero topological entropy and possessing a δ−scrambled set of Lebesgue measure α are given. This answers a question posed by Smítal.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 46 , Issue 2 , October 1992 , pp. 271 - 285
- Copyright
- Copyright © Australian Mathematical Society 1992
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