Return time statistics for unimodal maps

• Autorzy: H. Bruin , S. Vaienti
• Języki publikacji: EN

Abstrakty

EN

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.

Kategorie tematyczne

• 37D25: Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
• 37B20: Notions of recurrence
• 37E05: Maps of the interval (piecewise continuous, continuous, smooth)

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Fundamenta Mathematicae
• Rocznik: 2003
• Tom: 176
• Numer: 1
• Strony: 77-94

Daty

wydano

2003

Twórcy

autor

H. Bruin

• Department of Mathematics, University of Groningen, P.O. Box 800, 9700 AV Groningen, The Netherlands

autor

S. Vaienti

• PHYMAT, Université de Toulon, Centre de Physique Théorique, et FRUMAM, Fédération de Recherche des Unités, de Mathématiques de Marseille, CNRS Luminy, Case 907, F-13288 Marseille Cedex 9, France

Identyfikatory

DOI

10.4064/fm176-1-6