Pair correlations of sequences in higher dimensions

DOI10.1007/S11856-006-0009-ZzbMath1124.11033OpenAlexW2093954673MaRDI QIDQ877473

N. E. Zubov

Publication date: 23 April 2007

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

Full work available at URL: https://doi.org/10.1007/s11856-006-0009-z

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Distribution modulo one (11J71)

Related Items (11)

On pair correlations and Hausdorff dimension ⋮ The champernowne constant is not Poissonian ⋮ Intermediate-scale statistics for real-valued lacunary sequences ⋮ The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms ⋮ Pair correlations of the leVeque sequence on the polydisc ⋮ Poissonian correlation of higher order differences ⋮ Poissonian pair correlation in higher dimensions ⋮ On a multi-dimensional Poissonian pair correlation concept and uniform distribution ⋮ Some negative results related to Poissonian pair correlation problems ⋮ Some connections between discrepancy, finite gap properties, and pair correlations ⋮ Sequences with almost Poissonian pair correlations

Cites Work

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• Some theorems on metric uniform distribution using \(L^ 2\) methods
• The distribution modulo 1 of trigonometric sequences
• The Size of Trigonometric and Walsh Series and Uniform Distribution Mod 1
• Some Metrical Theorems of Diophantine Approximation (II)
• Pair correlations and \(U\)-statistics for independent and weakly dependent random variables

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