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On hybrid sequences built of Niederreiter-Halton sequences and Kronecker sequences

Authors
Publisher
AMPAI and CUP
Publication Date
Keywords
  • Uniform Distribution Modulo One
  • Discrepancy
  • Kronecker Sequence
  • Niederreiter-Halton Sequence
  • 11K06
  • 11K38
  • 11L07

Abstract

We discuss the distribution properties of hybrid sequences whose components stem from Niederreiter-Halton sequences on the one hand, and Kronecker sequences on the other hand. In this paper, we give necessary and sufficient conditions on the uniform distribution of such sequences, and derive a result regarding their discrepancy. We conclude with a short summary and a discussion of topics for future research.

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