Regularities of the distribution of \(\beta\)-adic van der Corput sequences

DOI10.1007/S00605-005-0370-8zbMath1111.11039OpenAlexW2080269374MaRDI QIDQ867142

Wolfgang Steiner

Publication date: 15 February 2007

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00605-005-0370-8

zbMATH Keywords

Pisot numbervan der Corput sequencediscrepancy functionParry number

Mathematics Subject Classification ID

Symbolic dynamics (37B10) Normal numbers, radix expansions, Pisot numbers, Salem numbers, good lattice points, etc. (11K16) Special sequences (11K31)

Related Items (5)

Discrepancy Bounds for β $$\boldsymbol{\beta }$$ -adic Halton Sequences ⋮ From van der Corput to modern constructions of sequences for quasi-Monte Carlo rules ⋮ On the uniform distribution modulo 1 of multidimensional LS-sequences ⋮ Halton-type sequences in rational bases in the ring of rational integers and in the ring of polynomials over a finite field ⋮ Ergodic properties of -adic Halton sequences

Cites Work

• Regularities in the distribution of special sequences
• Etude des restes pour les suites de van der Corput generalisees
• Systèmes de numération et fonctions fractales relatifs aux substitutions. (Numeration systems and fractal functions related to substitutions)
• On regularities of the distribution of special sequences
• Precise distribution properties of the van der Corput sequence and related sequences
• Representations for real numbers and their ergodic properties
• On theβ-expansions of real numbers
• On Periodic Expansions of Pisot Numbers and Salem Numbers
• Discrepancy and diaphony of digital (0,1)-sequences in prime base

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