A thorough analysis of the discrepancy of shifted Hammersley and van der Corput point sets

DOI10.1007/s10231-006-0002-5zbMath1150.11026OpenAlexW2078669974MaRDI QIDQ997570

Peter Kritzer, Gerhard Larcher, Friedrich Pillichshammer

Publication date: 7 August 2007

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10231-006-0002-5

zbMATH Keywords

Hammersley point setstar discrepancylow discrepancy sequencedistance to the nearest integerHammersley sequence (net)van der Corput point set

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06) Special sequences (11K31)

Related Items (7)

\(L_p\) discrepancy of generalized two-dimensional Hammersley point sets ⋮ From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules ⋮ Fibonacci sets and symmetrization in discrepancy theory ⋮ Improved upper bounds on the star discrepancy of \((t,m,s)\)-nets and \((t,s)\)-sequences ⋮ On the distribution properties of Niederreiter-Halton sequences ⋮ Point sets with low L p-discrepancy ⋮ On quasi-Monte Carlo methods in weighted ANOVA spaces

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• The extreme and \(L^2\) discrepancies of some plane sets
• Precise distribution properties of the van der Corput sequence and related sequences
• A best possible upper bound on the star discrepancy of (t, m, 2)-nets
• Point sets with low L p-discrepancy
• Minoration de la discrépance d'une suite quelconque sur T
• Sums of distances to the nearest integer and the discrepancy of digital nets
• Irregularities of distribution, VII

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