The law of the iterated logarithm for discrepancies of three variations of geometric progressions
In the paper under review, the authors prove the exact law of the iterated logarithm for the discrepancy of three classes of lacunary sequences, using methods similar to those used by the first author in [Acta Math. Hung. 118, No. 1--2, 155--170 (2008; Zbl 1241.11090)]. In the first class the quotients of consecutive elements of the sequences are chosen randomly; in the second class, these quotients are taken periodically from a finite set; and sequences in the third class are mixed out of finitely many geometric progressions, and then sorted in increasing order.
scientific article; zbMATH DE number 6088994