The pair correlation function of multi-dimensional low-discrepancy sequences with small stochastic error terms

DOI10.1016/j.jnt.2023.12.011arXiv2211.09891MaRDI QIDQ6150395

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Publication date: 6 March 2024

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

Full work available at URL: https://arxiv.org/abs/2211.09891

zbMATH Keywords

uniform distributionPoissonian pair correlationsKronecker sequences

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Well-distributed sequences and other variations (11K36) Distribution modulo one (11J71) General theory of distribution modulo (1) (11K06)

Cites Work

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• On pair correlation and discrepancy
• The two-point correlation function of the fractional parts of $\sqrt {n}$ is Poisson
• Irregularities of distribution, VII
• On irregularities of distribution

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