Local Rates of Poincaré Recurrence for Rotations and Weak Mixing
نویسنده
چکیده
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,F, μ, T ) is greater or equal to 1 μ-almost everywhere, then it is weakly mixing.
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تاریخ انتشار 2003