Discrepancy of generalized LS-sequences

2015/03/25 by Iacò, Maria Rita, Ziegler, Volker
#FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.1503.07299

Abstract

The LS-sequences are a parametric family of sequences of points in the unit interval. They were introduced by Carbone, who also proved that under an appropriate choice of the parameters L and S, such sequences are low-discrepancy. The aim of the present paper is to provide explicit constants in the bounds of the discrepancy of LS-sequences. Further, we generalize the construction of Carbone and construct a new class of sequences of points in the unit interval, the generalized LS-sequences.

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