Optimal order of $L_p$-discrepancy of digit shifted Hammersley point sets in dimension 2

zbMath1340.11062arXiv1410.4315MaRDI QIDQ3448484

Ralph Kritzinger, Aicke Hinrichs, Friedrich Pillichshammer

Publication date: 23 October 2015

Full work available at URL: https://arxiv.org/abs/1410.4315

zbMATH Keywords

Hammersley point set\(L_p\)-discrepancydigit shiftsRoth net

Mathematics Subject Classification ID

Special sequences (11K31)

Related Items (9)

Point sets with optimal order of extreme and periodic discrepancy ⋮ From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules ⋮ Digital nets in dimension two with the optimal order of \(L_p\) discrepancy ⋮ Finding exact formulas for the $L_2$ discrepancy of digital $(0,n,2)$-nets via Haar functions ⋮ Extreme and periodic $L_2$ discrepancy of plane point sets ⋮ An exact formula for the \(L_2\) discrepancy of the symmetrized Hammersley point set ⋮ \(L_p\)- and \(S_{p, q}^r B\)-discrepancy of the symmetrized van der Corput sequence and modified Hammersley point sets in arbitrary bases ⋮ On quasi-Monte Carlo methods in weighted ANOVA spaces ⋮ \(L_p\)-discrepancy of the symmetrized van der Corput sequence

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