Return time statistics for unimodal maps

H. Bruin; S. Vaienti

Fundamenta Mathematicae (2003)

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

Abstract

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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.

How to cite

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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 -

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