Local rates of Poincare recurrence for rotations and weak mixing - Archive ouverte HAL
Article Dans Une Revue Discrete and Continuous Dynamical Systems - Series A Année : 2005

Local rates of Poincare recurrence for rotations and weak mixing

Résumé

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.

Dates et versions

hal-00724804 , version 1 (22-08-2012)

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Citer

Jr Chazottes, Fabien Durand. Local rates of Poincare recurrence for rotations and weak mixing. Discrete and Continuous Dynamical Systems - Series A, 2005. ⟨hal-00724804⟩
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