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.
@article{bwmeta1.element.bwnjournal-article-fmv155i1p33bwm,
author = {Tomasz Nowicki and Feliks Przytycki},
title = {Topological invariance of the Collet--Eckmann property for S-unimodal maps},
journal = {Fundamenta Mathematicae},
volume = {158},
year = {1998},
pages = {33-43},
zbl = {0898.58014},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-fmv155i1p33bwm}
}
Nowicki, Tomasz; Przytycki, Feliks. Topological invariance of the Collet–Eckmann property for S-unimodal maps. Fundamenta Mathematicae, Tome 158 (1998) pp. 33-43. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-fmv155i1p33bwm/
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