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ArticleOriginal scientific text

Title

Some dynamical properties of S-unimodal maps

Authors 1

Affiliations

  1. Institute of Mathematics, Warsaw University, Banacha 2, 02-097 Warszawa, Poland

Abstract

We study 1) the slopes of central branches of iterates of S-unimodal maps, comparing them to the derivatives on the critical trajectory, 2) the hyperbolic structure of Collet-Eckmann maps estimating the exponents, and under a summability condition 3) the images of the density one under the iterates of the Perron-Frobenius operator, 4) the density of the absolutely continuous invariant measure.

Bibliography

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Fundamenta Mathematicae
1993/142/1
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Pages:
45-57
Main language of publication
English
Received
1991-09-02
Accepted
1992-06-08
Published
1993
Exact and natural sciences