One-dimensional dynamics has developed in the last decades into a subject in its own right.
Yet, many recent results are inaccessible and have never been brought together. For this …

An interval map is said to have an asymptotic measure if the time averages of the iterates of
Lebesgue measure converge weakly. We construct quadratic maps which have no …

We study unimodal interval maps T with negative Schwarzian derivative satisfying the Collet-
Eckmann condition| DT n (Tc)|≧ Kλ cn for some constants K> 0 and λ c> 1 (c is the critical …

Decay of correlations for certain quadratic maps Page 1 Commun. Math. Phys. 146, t23-138
(1992) Communications in MaUlernaUc 9 Springer-Verlag 1992 Decay of Correlations for …

We show equivalence of several standard conditions for non-uniform hyperbolicity of
complex rational functions, including the Topological Collet-Eckmann condition (TCE) …

Absolutely continuous invariant measures and random perturbations for certain one-dimensional
maps Page 1 Ergod. Th. & Dynam. Sys. (1992), 12, 13-37 Printed in Great Britain Absolutely …

An S-unimodal map f is said to satisfy the Collet-Eckmann condition if the lower Lyapunov
exponent at the critical value is positive. If the infimum of the Lyapunov exponent over all …

For unimodal maps with negative Schwarzian derivative a sufficient condition for the
existence of an invariant measure, absolutely continuous with respect to Lebesgue …

R.–Nous considérons des familles t↦→ ft d'applications unimodales C4, de
récurrence postcritique lente, avec une dépendance C2 en fonction du paramètre t. Nous …

We present a class of S-unimodal maps having an invariant measure which is absolutely
continuous with respect to Lebesgue measure. This measure can often be proved to be …