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The L 2 Discrepancy of Irrational Lattices

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Publication:2926219
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DOI10.1007/978-3-642-41095-6_11zbMath1312.11062OpenAlexW19073316MaRDI QIDQ2926219

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://doi.org/10.1007/978-3-642-41095-6_11


zbMATH Keywords

Dedekind sumcontinued fraction\(L^2\) discrepancyirrational lattices


Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38)


Related Items (5)

Finding both, the continued fraction and the Laurent series expansion of golden ratio analogs in the field of formal power series ⋮ Davenport's theorem in geometric discrepancy theory ⋮ Digital nets in dimension two with the optimal order of \(L_p\) discrepancy ⋮ Finding exact formulas for the $L_2$ discrepancy of digital $(0,n,2)$-nets via Haar functions ⋮ Fast high-dimensional node generation with variable density







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