Ja n 20 01 STATISTICAL PROPERTIES OF UNIMODAL MAPS
نویسنده
چکیده
We prove that almost every real quadratic map is either regular or Collet-Eckmann. This implies exponential rates of mixing of the last renormalization of the map. We also show that the recurrence of the critical orbit is polynomial in a full measure set. It follows from a result of Baladi and Viana that almost every quadratic map is stochastically stable in the strong sense. Combined with methods from Avila, Lyubich and de Melo, similar results can be shown for non trivial analytic families of unimodal maps.
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تاریخ انتشار 2001