Some dynamical properties of S-unimodal maps

Volume 142 / 1993

Tomasz Nowicki Fundamenta Mathematicae 142 (1993), 45-57 DOI: 10.4064/fm-142-1-45-57

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.

Authors

  • Tomasz Nowicki

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