Some dynamical properties of S-unimodal maps
Tom 142 / 1993
Fundamenta Mathematicae 142 (1993), 45-57
DOI: 10.4064/fm-142-1-45-57
Streszczenie
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.
