Regularities in the distribution of special sequences

DOI10.1016/0022-314X(84)90041-6zbMath0531.10055MaRDI QIDQ788039

Peter Hellekalek

Publication date: 1984

Published in: Journal of Number Theory (Search for Journal in Brave)

zbMATH Keywords

discrepancygeneralized Halton sequencessigma-\(q\)-adic sequence

Mathematics Subject Classification ID

Irregularities of distribution, discrepancy (11K38)

Related Items (16)

General discrepancy estimates. III: The Erdös-Turán-Koksma inequality for the Haar function system ⋮ On a bounded remainder set for a digital Kronecker sequence ⋮ Regularities of the distribution of \(\beta\)-adic van der Corput sequences ⋮ On functions with bounded remainder ⋮ From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules ⋮ On bounded remainder intervals and strongly non-bounded remainder intervals for sequences \((\{a_n \alpha \})_{n \geq 1}\) ⋮ On the lower bound of the discrepancy of Halton's sequence. II ⋮ Ergodicity of certain cylinder flows ⋮ Van der Corput sequences, Kakutani transforms and one-dimensional numerical integration ⋮ Generalized von Neumann-Kakutani transformation and random-start scrambled Halton sequences ⋮ On a bounded remainder set for $(t,s)$ sequences I ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Etude des restes pour les suites de van der Corput generalisees ⋮ Randomized Halton sequences ⋮ Lemme de Bohl pour les suites de Van der Corput généralisées. (Bohl lemma for the generalized Van der Corput sequences)

Cites Work

• On regularities of the distribution of special sequences
• Propriétés generiques de processus croises
• Ergodic theory. Introductory lectures
• Irregularities of Distribution. VIII
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1
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