Pseudo-randomness of van der Corput’s sequences

Research paper by O. Blažeková

Indexed on: 17 May '09Published on: 17 May '09Published in: Mathematica Slovaca


The aim of this paper is to find main terms of the star DN* and extremal DN discrepancies of the two dimensional sequence (xn, xn+1), n = 0, 1, 2, ..., N − 1, where xn, n = 0, 1, 2, ..., is the van der Corput sequence. This give a quantitative form of a well-known result that van der Corput sequence is not pseudorandom.