Attracting Cantor set of positive measure for a C∞ map of an interval-Reference-Cited by-同舟云学术

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Attracting Cantor set of positive measure for a C∞ map of an interval

Published:1982-12 Issue:3-4 Volume:2 Page:405-415
ISSN:0143-3857
Container-title:Ergodic Theory and Dynamical Systems
language:en
Short-container-title:Ergod. Th. Dynam. Sys.

Author:

Misiurewicz Michał

Abstract

AbstractWe give an example of a smooth map of an interval into itself, conjugate to the Feigenbaum map, for which the attracting Cantor set has positive Lebesgue measure.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,General Mathematics

Reference6 articles.

1. Structure of mappings of an interval with zero entropy

2. [5] Lanford O. III. A computer-assisted proof of Feigenbaum conjectures. Preprint I.H.E.S. 1981.

3. Periodic Orbits and Kneading Invariants

4. Quantitative universality for a class of nonlinear transformations

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