Ralph Kritzinger

activity

20142021

L_{p}

-discrepancy of digit shifted Hammersley point sets in dimension 2

6 citations · 12 across the 12 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.NT2021

Exact order of extreme $L_{p}$ discrepancy of infinite sequences in arbitrary dimension

Ralph Kritzinger, Friedrich Pillichshammer

We study the extreme $L_{p}$ discrepancy of infinite sequences in the $d$ -dimensional unit cube, which uses arbitrary sub-intervals of the unit cube as test sets. This is in contrast…

math.NT2021

Point sets with optimal order of extreme and periodic discrepancy

Ralph Kritzinger, Friedrich Pillichshammer

We study the extreme and the periodic $L_{p}$ discrepancy of point sets in the $d$ -dimensional unit cube. The extreme discrepancy uses arbitrary sub-intervals of the unit cube as tes…

math.NT2021★ 1 cited

Uniformly distributed sequences generated by a greedy minimization of the $L_{2}$ discrepancy

Ralph Kritzinger

The aim of this paper is to develop greedy algorithms which generate uniformly distributed sequences in the $d$ -dimensional unit cube $[0, 1]^{d}$ . The figures of merit are three diff…

Exact order of extreme Lp​ discrepancy of infinite sequences in arbitrary dimension

Point sets with optimal order of extreme and periodic discrepancy

Uniformly distributed sequences generated by a greedy minimization of the L2​ discrepancy

Exact order of extreme $L_{p}$ discrepancy of infinite sequences in arbitrary dimension

Uniformly distributed sequences generated by a greedy minimization of the $L_{2}$ discrepancy