Low-discrepancy sequences: Atanassov's methods revisited

DOI10.1016/j.matcom.2016.09.001OpenAlexW2520177551MaRDI QIDQ2228976

Christiane Lemieux, Henri Faure

Publication date: 19 February 2021

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

Full work available at URL: https://doi.org/10.1016/j.matcom.2016.09.001

zbMATH Keywords

low-discrepancy sequencesdiscrepancy boundsAtanassov's methods

Mathematics Subject Classification ID

Combinatorics (05-XX) Number theory (11-XX)

Cites Work

• New star discrepancy bounds for \((t,m,s)\)-nets and \((t,s)\)-sequences
• From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules
• Lectures on irregularities of distribution. (Notes by T. N. Shorey)
• On the discrepancy of generalized Niederreiter sequences
• Improved upper bounds on the star discrepancy of \((t,m,s)\)-nets and \((t,s)\)-sequences
• A variant of Atanassov's method for \((t, s)\)-sequences and \((t, \mathbf{e}, s)\)-sequences
• On Atanassov’s methods for discrepancy bounds of low-discrepancy sequences
• Discrépance de suites associées à un système de numération (en dimension s)
• Corrigendum to: ``Improvements on the star discrepancy of (t,s)-sequences" (Acta Arith. 154 (2012), 61–78)
• Improvement on the Discrepancy of (t, e, s)-Sequences
• Extensions of Atanassov’s Methods for Halton Sequences
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