Return time statistics for unimodal maps
Volume 176 / 2003
Fundamenta Mathematicae 176 (2003), 77-94
MSC: Primary 37B20; Secondary 37E05, 37D25.
DOI: 10.4064/fm176-1-6
Abstract
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.
