Geodesic
Return time statistics for unimodal maps
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
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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