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The Supremum Norm of the Discrepancy Function: Recent Results and Connections

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Publication:2926209
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DOI10.1007/978-3-642-41095-6_2zbMath1304.11074arXiv1207.6659OpenAlexW171167417MaRDI QIDQ2926209

Michael T. Lacey, Dmitriy Bilyk

Publication date: 31 October 2014

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1207.6659


zbMATH Keywords

discrepancy functionirregularities of distribution


Mathematics Subject Classification ID

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


Related Items (8)

DYADIC SHIFT RANDOMIZATION IN CLASSICAL DISCREPANCY THEORY ⋮ A sharp discrepancy bound for jittered sampling ⋮ The two-dimensional small ball inequality and binary nets ⋮ 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 ⋮ On the lower bound in the lattice point remainder problem for a parallelepiped ⋮ Probabilistic Diophantine approximation and the distribution of Halton-Kronecker sequences ⋮ Secure pseudorandom bit generators and point sets with low star-discrepancy







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