Article Contents
Article Contents

# Local rates of Poincaré recurrence for rotations and weak mixing

• We study the lower and upper local rates of Poincaré recurrence of rotations on the circle by means of symbolic dynamics. As a consequence, we show that if the lower rate of Poincaré recurrence of an ergodic dynamical system $(X,\mathcal F, \mu, T)$ is greater or equal to 1 $\mu$-almost everywhere, then it is weakly mixing.
Mathematics Subject Classification: Primary: 37B20; Secondary: 37B10.

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