Symmetrization of the van der Corput generalized sequences

DOI10.3792/pjaa.64.159zbMath0654.10049OpenAlexW2047968256MaRDI QIDQ1108316

Petko D. Proinov

Publication date: 1988

Published in: Proceedings of the Japan Academy. Series A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3792/pjaa.64.159

zbMATH Keywords

uniform distributiondiaphonyorder of magnitude\(L^ 2\)-discrepancysymmetrical sequencevan der Corput generalized sequence

Mathematics Subject Classification ID

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

Related Items (12)

\(L_{2}\) discrepancy of symmetrized generalized hammersley point sets in base \(b\) ⋮ Discrepancy bounds for infinite-dimensional order two digital sequences over \(\mathbb F_2\) ⋮ Cyclic shifts of the van der Corput set ⋮ Davenport's theorem in geometric discrepancy theory ⋮ From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules ⋮ Optimal periodic \(L_2\)-discrepancy and diaphony bounds for higher order digital sequences ⋮ \(L_2\) discrepancy of generalized Zaremba point sets ⋮ Using permutations to reduce discrepancy ⋮ Fibonacci sets and symmetrization in discrepancy theory ⋮ On the \(L_2\)-discrepancy of the Sobol-Hammersley net in dimension 3 ⋮ Uniformly distributed sequences generated by a greedy minimization of the \(L_2\) discrepancy ⋮ \(L_p\)-discrepancy of the symmetrized van der Corput sequence

Cites Work

• Discrépances de suites associées à un système de numération (en dimension un)
• On irregularities of distribution
• Note on irregularities of distribution
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Symmetrization of the van der Corput generalized sequences