Discrepancy of generalized LS-sequences

الأصل · EN

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.