Local rates of Poincare recurrence for rotations and weak mixing
Dynamical Systems
2007-05-23 v1
Abstract
We study the lower and upper local rates of Poincare recurrence of rotations on the circle by means of symbolic dynamics. As a consequence, we show that if the lower rate of Poincare recurrence of an ergodic dynamical system (X,F,mu,T) is greater or equal to 1 mu-almost everywhere, then it is weakly mixing.
Keywords
Cite
@article{arxiv.math/0312328,
title = {Local rates of Poincare recurrence for rotations and weak mixing},
author = {JR Chazottes and F. Durand},
journal= {arXiv preprint arXiv:math/0312328},
year = {2007}
}
Comments
To appear in Discrete and Continuous Dynam. Syst. (Series A)