On the star-discrepancy of generalized Hammersley sequences in two dimensions

DOI10.1007/BF01559392zbMath0588.10060OpenAlexW2039208231MaRDI QIDQ1073089

Henri Faure

Publication date: 1986

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

Full work available at URL: https://eudml.org/doc/178280

zbMATH Keywords

star discrepancygeneralized Hammersley sequences in two dimensionslower constantsprecise estimates

Mathematics Subject Classification ID

General theory of distribution modulo (1) (11K06)

Related Items (9)

\(L_p\) discrepancy of generalized two-dimensional Hammersley point sets ⋮ Extensions of Atanassov’s Methods for Halton Sequences ⋮ New star discrepancy bounds for \((t,m,s)\)-nets and \((t,s)\)-sequences ⋮ From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules ⋮ On some remarkable properties of the two-dimensional Hammersley point set in base 2 ⋮ Using permutations to reduce discrepancy ⋮ Improved upper bounds on the star discrepancy of \((t,m,s)\)-nets and \((t,s)\)-sequences ⋮ A thorough analysis of the discrepancy of shifted Hammersley and van der Corput point sets ⋮ Improved Halton sequences and discrepancy bounds

Cites Work

• Unnamed Item
• A method for exact calculation of the stardiscrepancy of plane sets applied to the sequences of Hammersley
• An improved low-discrepancy sequence for multidimensional quasi-Monte Carlo integration
• The extreme and \(L^2\) discrepancies of some plane sets
• Discrépance de suites associées à un système de numération (en dimension s)
• Discrépances de suites associées à un système de numération (en dimension un)
• On a sequence of points of interest for numerical quadrature
• Irregularities of distribution, VII
• On irregularities of distribution

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