On the uniform distribution modulo 1 of multidimensional LS-sequences

DOI10.1007/s10231-013-0331-0zbMath1323.11049arXiv1211.3470OpenAlexW1977347398MaRDI QIDQ466946

Markus Hofer, Volker Ziegler, Christoph Aistleitner

Publication date: 31 October 2014

Published in: Annali di Matematica Pura ed Applicata. Serie Quarta (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1211.3470

zbMATH Keywords

discrepancyuniform distributionLS-sequence

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38) Distribution modulo one (11J71) Special sequences (11K31)

Related Items (4)

Extension of van der Corput algorithm to LS-sequences ⋮ Deviation from equidistance for one-dimensional sequences ⋮ Comparison Between LS-Sequences and $$\beta $$ β -Adic van der Corput Sequences ⋮ Measure density for set decompositions and uniform distribution

Cites Work

• Extension of van der Corput algorithm to LS-sequences
• Uniform distribution of generalized Kakutani's sequences of partitions
• A generalization of Kakutani's splitting procedure
• Sequences, discrepancies and applications
• Funktionen von beschränkter Variation in der Theorie der Gleichverteilung
• Regularities of the distribution of \(\beta\)-adic van der Corput sequences
• Simulation methods in ruin models with nonlinear dividend barriers.
• Distribution properties of \(G\)-additive functions
• Discrepancy of \(LS\)-sequences of partitions and points
• A central limit theorem and improved error bounds for a hybrid-Monte Carlo sequence with applications in computational finance
• Odometers and systems of numeration
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