Article citationsMore>>

Pillichshammer, F. and Steinerberger, S. (2009) Average Distance between Consecutive Points of Uniformly Distributed Sequences. Uniform Distribution Theory, 4, 51-67.
https://math.boku.ac.at/udt/vol04/no1/Pilli-Stein09-1.pdf

has been cited by the following article:

• TITLE: An Asymptotic Distribution Function of the Three-Dimensional Shifted van der Corput Sequence

  AUTHORS: Jana Fialová, Ladislav Mišk, Oto Strauch

  KEYWORDS: Sequences, Arithmetic Means, Riemann-Stieltjes Integraion

  JOURNAL NAME: Applied Mathematics, Vol.5 No.15, August 19, 2014

  ABSTRACT: In this paper, we apply the Weyl's limit relation to calculate the limit ,where γq (n) is the van der Corput sequence in base q, g (x, y, z),is the asymptotic distribution function of (γq (n), γq (n +1), γq (n + 2)), and F (x, y, z) = max (x, y, z), min (x, y, z),and xyz, respectively.