Extreme and periodic $L_2$ discrepancy of plane point sets

DOI10.4064/aa200520-22-12zbMath1483.11158arXiv2005.09933OpenAlexW3139269670MaRDI QIDQ5156875

Aicke Hinrichs, Ralph Kritzinger, Friedrich Pillichshammer

Publication date: 12 October 2021

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2005.09933

zbMATH Keywords

lower boundsHammersley point set\(L_2\) discrepancydiaphonyrational lattice

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Well-distributed sequences and other variations (11K36)

Related Items (5)

Point sets with optimal order of extreme and periodic discrepancy ⋮ The BMO-discrepancy suffers from the curse of dimensionality ⋮ Optimal periodic \(L_2\)-discrepancy and diaphony bounds for higher order digital sequences ⋮ Uniformly distributed sequences generated by a greedy minimization of the \(L_2\) discrepancy ⋮ Exact order of extreme \(L_p\) discrepancy of infinite sequences in arbitrary dimension

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