Sequences with almost Poissonian pair correlations

DOI10.1016/J.JNT.2021.07.011zbMath1500.11060arXiv1905.02760OpenAlexW3193517447WikidataQ114156813 ScholiaQ114156813MaRDI QIDQ2116745

Thomas Skill, Christian Weiß

Publication date: 18 March 2022

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.02760

zbMATH Keywords

uniform distributionvan der Corput sequencesKronecker sequencespair correlation statistic

Mathematics Subject Classification ID

Well-distributed sequences and other variations (11K36) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

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
• Poissonian pair correlation in higher dimensions
• Some negative results related to Poissonian pair correlation problems
• Low discrepancy sequences failing Poissonian pair correlations
• Pair correlations and equidistribution
• On pair correlation and discrepancy
• The champernowne constant is not Poissonian
• 7. On pair correlation of sequences
• The two-point correlation function of the fractional parts of $\sqrt {n}$ is Poisson
• Deducing Three Gap Theorem from Rauzy-Veech induction

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