Precise distribution properties of the van der Corput sequence and related sequences

DOI10.1007/s00229-005-0577-yzbMath1088.11060OpenAlexW2028354150MaRDI QIDQ2571054

Gerhard Larcher, Friedrich Pillichshammer, Michael Drmota

Publication date: 2 November 2005

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-005-0577-y

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Related Items (15)

Van der Corput sequences towards general \((0,1)\)-sequences in base \(b\) ⋮ Regularities of the distribution of \(\beta\)-adic van der Corput sequences ⋮ On the distribution of the van der Corput sequence in arbitrary base ⋮ The binary digits of n+t ⋮ Joint spectral radius, dilation equations, and asymptotic behavior of radix-rational sequences ⋮ From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules ⋮ Discrepancy of Digital Sequences: New Results on a Classical QMC Topic ⋮ Lower Bounds on the $$L_p$$ Discrepancy of Digital NUT Sequences ⋮ On the distribution of the van der Corput sequences ⋮ Dyadic diaphony of digital sequences ⋮ Improved upper bounds on the star discrepancy of \((t,m,s)\)-nets and \((t,s)\)-sequences ⋮ A thorough analysis of the discrepancy of shifted Hammersley and van der Corput point sets ⋮ Digital Sequences with Best Possible Order of L ₂ ‐Discrepancy ⋮ \(L_p\)-discrepancy of the symmetrized van der Corput sequence ⋮ A lower bound for Cusick’s conjecture on the digits of n + t

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