A metric discrepancy result for lacunary sequences

DOI10.1090/S0002-9939-2011-10940-7zbMath1245.11088OpenAlexW2077444616MaRDI QIDQ2880635

Katusi Fukuyama, Tetsujin Watada

Publication date: 13 April 2012

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-2011-10940-7

zbMATH Keywords

law of the iterated logarithmdiscrepancylacunary sequence

Mathematics Subject Classification ID

Strong limit theorems (60F15) Irregularities of distribution, discrepancy (11K38)

Related Items (2)

Metric discrepancy results for alternating geometric progressions ⋮ Quantitative uniform distribution results for geometric progressions

Cites Work

• Unnamed Item
• Metric discrepancy results for subsequences of \(\{\theta^k x\}\)
• The law of the iterated logarithm for discrepancies of \(\{\theta^{n}x\}\)
• A metric discrepancy result for the Hardy-Littlewood-Pólya sequences
• A functional law of the iterated logarithm for empirical distribution functions of weakly dependent random variables
• An asymptotic property of gap series
• On the law of the iterated logarithm for the discrepancy of lacunary sequences
• On permutations of Hardy-Littlewood-Pólya sequences
• The Size of Trigonometric and Walsh Series and Uniform Distribution Mod 1
• Limit theorems for lacunary series and uniform distribution mod 1

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