Vandermonde Nets and Vandermonde Sequences

DOI10.1007/978-3-319-33507-0_3zbMath1354.11056OpenAlexW2503648601MaRDI QIDQ2957025

Harald Niederreiter, Roswitha Hofer

Publication date: 20 January 2017

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-33507-0_3

zbMATH Keywords

low-discrepancy point sets and sequences\((t, m, s)\)-nets\((t, s)\)-sequencesdigital point sets and sequences

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Special sequences (11K31)

Cites Work

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• New star discrepancy bounds for \((t,m,s)\)-nets and \((t,s)\)-sequences
• Point sets and sequences with small discrepancy
• Low-discrepancy sequences and global function fields with many rational places
• Improved upper bounds on the star discrepancy of \((t,m,s)\)-nets and \((t,s)\)-sequences
• A Small Taxonomy of Integration Node Sets
• Algebraic Function Fields and Codes
• A construction of low-discrepancy sequences using global function fields
• Polynomial Lattice Point Sets
• Vandermonde nets
• Low-discrepancy sequences using duality and global function fields
• Cyclic Digital Nets, Hyperplane Nets, and Multivariate Integration in Sobolev Spaces

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