Dyadic diaphony of digital nets over \(\mathbb Z_2\)

DOI10.1007/s00605-004-0287-7zbMath1130.11042OpenAlexW1989783858MaRDI QIDQ2573768

Friedrich Pillichshammer, Josef Dick

Publication date: 24 November 2005

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

Full work available at URL: https://doi.org/10.1007/s00605-004-0287-7

zbMATH Keywords

limiting dyadic diaphony

Mathematics Subject Classification ID

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

Related Items (3)

Statistical properties of $b$-adic diaphonies ⋮ Dyadic diaphony of digital sequences ⋮ The weighted \(b\)-adic diaphony

Cites Work

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• When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?
• Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces
• Liberating the weights
• Digital nets and sequences constructed over finite rings and their application to quasi-Monte Carlo integration
• Diaphony, discrepancy, spectral test and worst-case error
• A generalized discrepancy and quadrature error bound
• Digital (t,m,s)-nets and the spectral test
• On the mean square weighted L₂discrepancy of randomized digital (t,m,s)-nets over Z₂
• Construction algorithms for polynomial lattice rules for multivariate integration
• On irregularities of distribution

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