On the diaphony of the van der Corput-Halton sequence

DOI10.1016/0022-314X(88)90028-5zbMath0654.10050OpenAlexW2025390300MaRDI QIDQ1108318

Vasil S. Grozdanov, Petko D. Proinov

Publication date: 1988

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-314x(88)90028-5

zbMATH Keywords

unit intervaldiaphonymeasure of irregularity of distributionVan der Corput-Halton sequence

Mathematics Subject Classification ID

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

Related Items

Discrepancy bounds for infinite-dimensional order two digital sequences over \(\mathbb F_2\), On the distribution of the van der Corput sequence in arbitrary base, Unnamed Item, NUMBER-THEORETIC METHOD IN APPROXIMATE ANALYSIS, 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, Unnamed Item, Using permutations to reduce discrepancy, Dyadic diaphony of digital sequences, On the Wasserstein distance between classical sequences and the Lebesgue measure, Positive-definite functions, exponential sums and the greedy algorithm: a curious phenomenon, Irregularity of distribution in Wasserstein distance, Digital Sequences with Best Possible Order of L ₂ ‐Discrepancy, Exact order of extreme \(L_p\) discrepancy of infinite sequences in arbitrary dimension

Cites Work

• On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals
• Quasi-Monte Carlo methods and pseudo-random numbers
• On a sequence of points of interest for numerical quadrature
• On irregularities of distribution
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