On the \(L_2\)-discrepancy of the Sobol-Hammersley net in dimension 3

DOI10.1006/jcom.2001.0606zbMath1098.65002OpenAlexW2088179396MaRDI QIDQ700170

Friedrich Pillichshammer, Gerhard Larcher

Publication date: 30 September 2002

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

Full work available at URL: https://doi.org/10.1006/jcom.2001.0606

zbMATH Keywords

complexitydigital nets\(L_2\)-discrepancyWalsh series analysis

Mathematics Subject Classification ID

Geometric probability and stochastic geometry (60D05) Monte Carlo methods (65C05) Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.) (42C10) Irregularities of distribution, discrepancy (11K38) Sampling theory in information and communication theory (94A20)

Related Items (1)

Harmonic analysis on totally disconnected groups and irregularities of point distributions

Cites Work

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• Average case complexity of multivariate integration
• On irregularities of distribution, III
• On irregularities of distribution, IV
• Discrépance de suites associées à un système de numération (en dimension s)
• General discrepancy estimates II: the Haar function system
• On irregularities of distribution
• Note on irregularities of distribution
• Walsh series analysis of the \(L_2\)-discrepancy of symmetrized point sets

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