Statistical Properties of Unimodal Maps: Smooth Families with Negative Schwarzian Derivative
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چکیده
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.
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تاریخ انتشار 2008