Some dynamical properties of S-unimodal maps
Fundamenta Mathematicae, Tome 142 (1993) no. 1, pp. 45-57
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.
@article{10_4064_fm_142_1_45_57,
author = {Tomasz Nowicki},
title = {Some dynamical properties of {S-unimodal} maps},
journal = {Fundamenta Mathematicae},
pages = {45--57},
year = {1993},
volume = {142},
number = {1},
doi = {10.4064/fm-142-1-45-57},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/fm-142-1-45-57/}
}
Tomasz Nowicki. Some dynamical properties of S-unimodal maps. Fundamenta Mathematicae, Tome 142 (1993) no. 1, pp. 45-57. doi: 10.4064/fm-142-1-45-57
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