%0 Journal Article
%T Local rates of Poincare recurrence for rotations and weak mixing
%A JR Chazottes
%A F. Durand
%J Mathematics
%D 2003
%I arXiv
%X 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.
%U http://arxiv.org/abs/math/0312328v1