Some connections between discrepancy, finite gap properties, and pair correlations

DOI10.1007/s00605-022-01742-wOpenAlexW4283783753MaRDI QIDQ2088025

Christian Weiß

Publication date: 21 October 2022

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2112.11752

zbMATH Keywords

discrepancyvan der Corput sequencesgap structurethree gap theoremKronecker sequencespair correlation statistic

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Distribution modulo one (11J71) Special sequences (11K31)

Related Items (2)

Deviation from equidistance for one-dimensional sequences ⋮ The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms

Cites Work

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• Pair correlations of sequences in higher dimensions
• The pair correlation function of fractional parts of polynomials
• Three distance theorems and combinatorics on words
• Interval exchange transformations and low-discrepancy
• Discrepancy of \(LS\)-sequences of partitions and points
• Poissonian correlation of higher order differences
• Poissonian pair correlation in higher dimensions
• A proof of Sarnak's golden mean conjecture
• On a multi-dimensional Poissonian pair correlation concept and uniform distribution
• Some negative results related to Poissonian pair correlation problems
• Pair correlation and equidistribution on manifolds
• Pair correlations and equidistribution
• On pair correlation and discrepancy
• The champernowne constant is not Poissonian
• Higher-dimensional gap theorems for the maximum metric
• The two-point correlation function of the fractional parts of $\sqrt {n}$ is Poisson
• Localized quantitative criteria for equidistribution
• Irregularities of distribution, VII
• Deducing Three Gap Theorem from Rauzy-Veech induction

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