In the present paper we study the behaviour of normalized waiting times for linear irrational rotations. D.Kim and B.Seo investigated the waiting times for equidistance partitions. We consider waiting times with respect to dynamical partitions. The results show that limiting behaviour of waiting times essentially depend on type of partitions.
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Dzhalilov, Akhtam and Khomidov, Mukhriddin
"The waiting time and dynamic partitions,"
Bulletin of National University of Uzbekistan: Mathematics and Natural Sciences: Vol. 2:
1, Article 3.