On the distribution of the van der Corput sequences

DOI10.1007/s00013-022-01811-4OpenAlexW4315865902MaRDI QIDQ2697451

Thomas Beretti

Publication date: 12 April 2023

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00013-022-01811-4

zbMATH Keywords

discrepancyuniform distributionvan der Corput sequencediaphonyperiodic \(L^2\)-discrepancy

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Well-distributed sequences and other variations (11K36)

Cites Work

• Periodic functions with bounded remainder
• From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules
• Etude des restes pour les suites de van der Corput generalisees
• On regularities of the distribution of special sequences
• On two versions of \(L^ 2\)-discrepancy and geometrical interpretation of diaphony
• A note on the periodic \(L_2\)-discrepancy of Korobov's \(p\)-sets
• Precise distribution properties of the van der Corput sequence and related sequences
• Optimal Point Sets for Quasi-Monte Carlo Integration of Bivariate Periodic Functions with Bounded Mixed Derivatives
• Discrépances de suites associées à un système de numération (en dimension un)
• Irregularities of distribution, VII
• On irregularities of distribution
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