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Return time statistics for unimodal maps

H. BruinS. Vaienti — 2003

Fundamenta Mathematicae

We prove that a non-flat S-unimodal map satisfying a weak summability condition has exponential return time statistics on intervals around a.e. point. Moreover we prove that the convergence to the entropy in the Ornstein-Weiss formula enjoys normal fluctuations.

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