Geodesic
Return time statistics for unimodal maps
H. Bruin1 ; S. Vaienti2
1Department of Mathematics University of Groningen P.O. Box 800 9700 AV Groningen, The Netherlands
2PHYMAT 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
Fundamenta Mathematicae, Tome 176 (2003) no. 1, pp. 77-94
Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/fm176-1-6
Keywords: prove non flat s unimodal map satisfying weak summability condition has exponential return time statistics intervals around point moreover prove convergence entropy ornstein weiss formula enjoys normal fluctuations

H. Bruin  1   ; S. Vaienti  2

1 Department of Mathematics University of Groningen P.O. Box 800 9700 AV Groningen, The Netherlands
2 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 
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H. Bruin; S. Vaienti. Return time statistics for unimodal maps. Fundamenta Mathematicae, Tome 176 (2003) no. 1, pp. 77-94. doi: 10.4064/fm176-1-6

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