Return time statistics for unimodal maps

H. Bruin; S. Vaienti

Fundamenta Mathematicae (2003)

  • Volume: 176, Issue: 1, page 77-94
  • ISSN: 0016-2736

Abstract

top
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.

How to cite

top

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 -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.