The law of the iterated logarithm for the discrepancies of a permutation of \(\{n_kx\}\)

DOI10.1007/S10474-008-8067-9zbMath1197.11090OpenAlexW2158505028MaRDI QIDQ1046785

J. Blot

Publication date: 28 December 2009

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10474-008-8067-9

zbMATH Keywords

law of the iterated logarithmdiscrepancies

Mathematics Subject Classification ID

Strong limit theorems (60F15) Irregularities of distribution, discrepancy (11K38) Lacunary series of trigonometric and other functions; Riesz products (42A55)

Related Items (12)

Metric discrepancy results for subsequences of geometric progressions ⋮ Metric discrepancy results for alternating geometric progressions ⋮ On the Uniform Theory of Lacunary Series ⋮ A metric discrepancy result for a lacunary sequence with small gaps ⋮ A metric discrepancy result for the sequence of powers of minus two ⋮ Quantitative uniform distribution results for geometric progressions ⋮ Metric discrepancy results for subsequences of \(\{\theta^k x\}\) ⋮ A law of the iterated logarithm for discrepancies: non-constant limsup ⋮ On the asymptotic behavior of weakly lacunary series ⋮ On the law of the iterated logarithm for permuted lacunary sequences ⋮ PROBABILITY AND METRIC DISCREPANCY THEORY ⋮ On permutations of Hardy-Littlewood-Pólya sequences

Cites Work

• Unnamed Item
• The law of the iterated logarithm for discrepancies of \(\{\theta^{n}x\}\)
• A functional law of the iterated logarithm for empirical distribution functions of weakly dependent random variables
• Metric Discrepancy Results for Sequences {nkx} and Diophantine Equations
• On the asymptotic behaviour of ?f(nkx)
• Limit theorems for lacunary series and uniform distribution mod 1

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