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An improved lower bound for the \(L_2\)-discrepancy

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Publication:272193
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DOI10.1016/j.jco.2015.11.008zbMath1414.11087arXiv1509.05878OpenAlexW2253655697MaRDI QIDQ272193

Aicke Hinrichs, Gerhard Larcher

Publication date: 20 April 2016

Published in: Journal of Complexity (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.05878

zbMATH Keywords

discrepancyHaar functions


Mathematics Subject Classification ID

Complexity and performance of numerical algorithms (65Y20) Irregularities of distribution, discrepancy (11K38)


Related Items

\(L_{2}\) discrepancy of symmetrized generalized hammersley point sets in base \(b\), On Proinov's lower bound for the diaphony, From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules



Cites Work

  • Unnamed Item
  • Fibonacci sets and symmetrization in discrepancy theory
  • On lower bounds for the \(L_2\)-discrepancy
  • Discrepancy of Hammersley points in Besov spaces of dominating mixed smoothness
  • L2discrepancy of generalized two-dimensional Hammersley point sets scrambled with arbitrary permutations
  • On irregularities of distribution
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