Abstract
Two kinds of sequences, which are of interest in problems of uniform distribution and dynamical systems, are considered. The rotation sequences (or Kronecker sequences) (KS) are closely related to the orbits of the rotation map and the oscillation sequences (OS) are a discrete-time form of orbits of the simplest oscillators. The discrepancy of these sequences, which is a measure of deviation of the empirical distribution of a sequence from the ideal uniform distribution, is studied.
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