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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.
H. Bruin, and S. Vaienti. "Return time statistics for unimodal maps." Fundamenta Mathematicae 176.1 (2003): 77-94. <http://eudml.org/doc/283160>.
@article{H2003, 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.}, author = {H. Bruin, S. Vaienti}, journal = {Fundamenta Mathematicae}, keywords = {return time; exponential statistics}, language = {eng}, number = {1}, pages = {77-94}, title = {Return time statistics for unimodal maps}, url = {http://eudml.org/doc/283160}, volume = {176}, year = {2003}, }
TY - JOUR AU - H. Bruin AU - S. Vaienti TI - Return time statistics for unimodal maps JO - Fundamenta Mathematicae PY - 2003 VL - 176 IS - 1 SP - 77 EP - 94 AB - 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. LA - eng KW - return time; exponential statistics UR - http://eudml.org/doc/283160 ER -