On functions with bounded remainder

DOI10.5802/aif.1156zbMath0674.28007OpenAlexW2080566398MaRDI QIDQ1121396

Gerhard Larcher, Peter Hellekalek

Publication date: 1989

Published in: Annales de l'Institut Fourier (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIF_1989__39_1_17_0

zbMATH Keywords

ergodicitydiscrepancyuniform distributionfunctions with bounded remainderq-adic transformationvon Neumann-Kakutani q-adic adding machine transformation

Mathematics Subject Classification ID

Measure-preserving transformations (28D05) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Irregularities of distribution, discrepancy (11K38) General theory of distribution modulo (1) (11K06)

Related Items (5)

On Weyl sums and skew products over irrational rotations ⋮ On Weyl products and uniform distribution modulo one ⋮ From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules ⋮ Speed of convergence of Weyl sums over Kronecker sequences ⋮ Ergodicity of certain cylinder flows

Cites Work

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• Regularities in the distribution of special sequences
• Etude des restes pour les suites de van der Corput generalisees
• Ergodicity of cylinder flows arising from irregularities of distribution
• On the ergodicity of a class of skew products
• On the one-sided boundedness of discrepancy function of the sequence {nα}
• On a conjecture of Erdös and Szüsz related to uniform distribution mod 1

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