Improving a constant in high-dimensional discrepancy estimates

DOI10.2298/PIM2021067PzbMath1474.11137arXiv1810.11345MaRDI QIDQ4985676

Christian Weiß, Hendrik Pasing

Publication date: 24 April 2021

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1810.11345

zbMATH Keywords

star-discrepancycurse of dimensionalityquasi-Monte Carlo\( \delta \)-bracketing

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Special sequences (11K31)

Related Items (3)

The curse of dimensionality for the \(L_p\)-discrepancy with finite \(p\) ⋮ An elementary proof of a lower bound for the inverse of the star discrepancy ⋮ A generalized Faulhaber inequality, improved bracketing covers, and applications to discrepancy

Cites Work

• Covering numbers, dyadic chaining and discrepancy
• Bracketing numbers for axis-parallel boxes and applications to geometric discrepancy
• The inverse of the star-discrepancy depends linearly on the dimension
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