The weighted \(b\)-adic diaphony

DOI10.1016/j.jco.2005.11.008zbMath1104.65005OpenAlexW2016309532MaRDI QIDQ2507588

Vassil St. Grozdanov

Publication date: 5 October 2006

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jco.2005.11.008

zbMATH Keywords

worst-case errorweighted Hilbert spaceuniformly distributed sequencesirregularity propertieslimiting discrepancylimiting weighted \(b\)-adic diaphonyweighted \(b\)-adic diaphony

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Related Items (1)

Statistical properties of $b$-adic diaphonies

Cites Work

• When are quasi-Monte Carlo algorithms efficient for high dimensional integrals?
• Base change problems for generalized Walsh series and multivariate numerical integration
• Tractability of multivariate integration for weighted Korobov classes
• Mellin transforms on binary fields
• Multivariate integration in weighted Hilbert spaces based on Walsh functions and weighted Sobolev spaces
• Digital nets and sequences constructed over finite rings and their application to quasi-Monte Carlo integration
• Dyadic diaphony of digital nets over \(\mathbb Z_2\)
• Diaphony, discrepancy, spectral test and worst-case error
• A class of generalized Walsh functions
• Dyadic diaphony
• Ten Lectures on Wavelets
• Monte Carlo Variance of Scrambled Net Quadrature
• On the mean square weighted L₂discrepancy of randomized digital (t,m,s)-nets over Z₂
• Theory of Reproducing Kernels
• Korobov spaces with respect to digital orthonormal bases
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