Van der Corput Sequences and Linear Permutations

Florian Pausinger*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

This extended abstract is concerned with the irregularities of distribution of one-dimensional permuted van der Corput sequences that are generated from linear permutations. We show how to obtain upper bounds for the discrepancy and diaphony of these sequences, by relating them to Kronecker sequences and applying earlier results of Faure and Niederreiter.

Original languageEnglish
Pages (from-to)43-50
Number of pages8
JournalElectronic Notes in Discrete Mathematics
Volume43
DOIs
Publication statusPublished - 2013
Externally publishedYes

Keywords

  • Continued fraction
  • Discrepancy
  • Permuted van der Corput sequence
  • Zaremba's conjecture

ASJC Scopus subject areas

  • Discrete Mathematics and Combinatorics
  • Applied Mathematics

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