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Large chaos in smooth functions of zero topological entropy

Published online by Cambridge University Press:  17 April 2009

Víctor Jiménez López
Víctor Jiménez López
Affiliation:
Departamento de Matemáticas Campus de Espinardo, Universidad de Murcia, 30100 Murcia, Spain
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Abstract

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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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