The law of the iterated logarithm for discrepancies of three variations of geometric progressions
type: Item
instance of: scholarly article
zbMATH Open document ID: 1276.11132
author: Katusi Fukuyama
author: Koji Murakami
author: Ryota Ohno
author: Satoru Ushijima
publication date: 2012-10-01T00:00:00Z
Mathematics Subject Classification ID: 11K38
Mathematics Subject Classification ID: 42A55
Mathematics Subject Classification ID: 60F15
zbMATH DE Number: 6088994
zbMATH Keywords: discrepancy
zbMATH Keywords: lacunary sequence
zbMATH Keywords: law of the iterated logarithm
MaRDI profile type: Publication
title: The law of the iterated logarithm for discrepancies of three variations of geometric progressions
published in: RIMS Kôkyûroku Bessatsu
review text: 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.
reviewed by: Christoph Aistleitner
description: scientific article; zbMATH DE number 6088994