Return time statistics for unimodal maps
H. Bruin ; S. Vaienti
Fundamenta Mathematicae, Tome 177 (2003), p. 77-94 / Harvested from The Polish Digital Mathematics Library
Access to full text
Full (PDF)

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.

Publié le : 2003-01-01
EUDML-ID : urn:eudml:doc:283160 
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-fm176-1-6,
     author = {H. Bruin and S. Vaienti},
     title = {Return time statistics for unimodal maps},
     journal = {Fundamenta Mathematicae},
     volume = {177},
     year = {2003},
     pages = {77-94},
     zbl = {1082.37037},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm176-1-6}
}

H. Bruin; S. Vaienti. Return time statistics for unimodal maps. Fundamenta Mathematicae, Tome 177 (2003) pp. 77-94. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-fm176-1-6/