6 citations · 12 across the 12 of their papers we have counts for
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discrepancy of symmetrized generalized Hammersley point sets in base
Ralph Kritzinger, Lisa M. Kritzinger
Two popular and often applied methods to obtain two-dimensional point sets with the optimal order of discrepancy are digit scrambling and symmetrization. In this paper we com…
An exact formula for the discrepancy of the symmetrized Hammersley point set
Ralph Kritzinger
The process of symmetrization is often used to construct point sets with low discrepancy. In the current work we apply this method to the shifted Hammersley point set. It is…
L_p- and S_{p,q}^rB-discrepancy of the symmetrized van der Corput sequence and modified Hammersley point sets in arbitrary bases
Ralph Kritzinger
We study the local discrepancy of a symmetrized version of the well-known van der Corput sequence and of modified two-dimensional Hammersley point sets in arbitrary base . We gi…
A reduced fast component-by-component construction of lattice point sets with small weighted star discrepancy
Ralph Kritzinger, Helene Laimer
The weighted star discrepancy of point sets appears in the weighted Koksma-Hlawka inequality and thus is a measure for the quality of point sets with respect to their performance i…
-discrepancy of the symmetrized van der Corput sequence
Ralph Kritzinger, Friedrich Pillichshammer
It is well known that the -discrepancy for of the van der Corput sequence is of exact order of magnitude . This however is for $p \in (1,\inf…