On Proinov's lower bound for the diaphony

DOI10.2478/UDT-2020-0010zbMath1485.11117arXiv2006.00549OpenAlexW3118509547MaRDI QIDQ2129351

Nathan Kirk

Publication date: 22 April 2022

Published in: Uniform Distribution Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2006.00549

zbMATH Keywords

Walsh systemHaar system(dyadic) diaphony\(\mathcal{L}_2\)-discrepancy

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38)

Related Items (4)

POLYNOMIALS WITH ZEROS ON THE UNIT CIRCLE: REGULARITY OF LEJA SEQUENCES ⋮ 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

Cites Work

• On the discrepancy of sequences in the unit-interval
• An improved lower bound for the \(L_2\)-discrepancy
• On the star discrepancy of sequences in the unit interval
• On lower bounds for the \(L_2\)-discrepancy
• An Improved Bound for the Star Discrepancy of Sequences in the Unit Interval
• Dyadic diaphony
• Explicit constructions of point sets and sequences with low discrepancy
• On the Intriguing Search for Good Permutations
• On the Walsh Functions
• On irregularities of distribution
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