On pair correlations and Hausdorff dimension

DOI10.1007/S11856-009-0047-4zbMath1189.11041OpenAlexW2004070438MaRDI QIDQ836114

N. E. Zubov

Publication date: 31 August 2009

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11856-009-0047-4

zbMATH Keywords

Hausdorff dimensiondiscrepancypair correlationgeneralized linear forms

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38)

Related Items (1)

Additive energy and the Hausdorff dimension of the exceptional set in metric pair correlation problems

Cites Work

• Unnamed Item
• Sequences, discrepancies and applications
• Pair correlations of sequences in higher dimensions
• Some theorems on metric uniform distribution using \(L^ 2\) methods
• The pair correlation function of fractional parts of polynomials
• Trigonometric sums in number theory and analysis. Transl. from the Russian
• The Realization of small Distances in Plane Sets of Positive Measure
• Some Metrical Theorems of Diophantine Approximation (II)
• Pair correlations and \(U\)-statistics for independent and weakly dependent random variables

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