Quasi-random points keep their distance

DOI10.1016/J.MATCOM.2006.09.004zbMath1122.65008OpenAlexW2052518305MaRDI QIDQ2372449

Boris V. Shukhman, Ilya M. Sobol'

Publication date: 27 July 2007

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.matcom.2006.09.004

zbMATH Keywords

quasi-Monte Carlo methodminimum distanceHalton sequencesrectangular latticeSobol sequencesquasi-random pointsFaure sequences

Mathematics Subject Classification ID

Monte Carlo methods (65C05) Well-distributed sequences and other variations (11K36) Pseudo-random numbers; Monte Carlo methods (11K45) Special sequences (11K31)

Cites Work

• Sequences, discrepancies and applications
• On the efficiency of certain quasi-random sequences of points in evaluating multi-dimensional integrals
• Discrépance de suites associées à un système de numération (en dimension s)
• On the distribution of points in a cube and the approximate evaluation of integrals
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