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ArticleOriginal scientific text

Title

Topological invariance of the Collet–Eckmann property for S-unimodal maps

Authors 1, 2

Affiliations

  1. Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland
  2. Institute of Mathematics, Polish Academy of Sciences, Śniadeckich 8, 00-950 Warszawa, Poland

Abstract

We prove that if f, g are smooth unimodal maps of the interval with negative Schwarzian derivative, conjugated by a homeomorphism of the interval, and f is Collet-Eckmann, then so is g.

Bibliography

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Fundamenta Mathematicae
1998/155/1
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Pages:
33-43
Main language of publication
English
Received
1996-06-03
Accepted
1996-08-03
Published
1998
Exact and natural sciences