L 2 Discrepancy of Two-Dimensional Digitally Shifted Hammersley Point Sets in Base b

DOI10.1007/978-3-642-04107-5_22zbMath1228.11122OpenAlexW14785343MaRDI QIDQ3405447

Henri Faure, Friedrich Pillichshammer

Publication date: 15 February 2010

Published in: Monte Carlo and Quasi-Monte Carlo Methods 2008 (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-642-04107-5_22

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Distribution theory (60E99) Numerical integration (65D30) Pseudo-random numbers; Monte Carlo methods (11K45)

Related Items (5)

Discrepancy bounds for infinite-dimensional order two digital sequences over \(\mathbb F_2\) ⋮ From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules ⋮ \(L_2\) discrepancy of generalized Zaremba point sets ⋮ Fibonacci sets and symmetrization in discrepancy theory ⋮ \(L_p\)- and \(S_{p, q}^r B\)-discrepancy of the symmetrized van der Corput sequence and modified Hammersley point sets in arbitrary bases

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