Mathematics – Dynamical Systems
Scientific paper
2001-05-27
Mathematics
Dynamical Systems
33 pages, no figures, third version, to appear in Ast\'erisque
Scientific paper
We prove that there is a residual set of families of smooth or analytic unimodal maps with quadratic critical point and negative Schwarzian derivative such that almost every non-regular parameter is Collet-Eckmann with subexponential recurrence of the critical orbit. Those conditions lead to a detailed and robust statistical description of the dynamics. This proves the Palis conjecture in this setting.
Avila Artur
Moreira Carlos Gustavo
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