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 2020Show all

3 papers · 1 filter

math.CO2020

Improved dispersion bounds for modified Fibonacci lattices

Ralph Kritzinger, Jaspar Wiart

We study the dispersion of point sets in the unit square; i.e. the size of the largest axes-parallel box amidst such point sets. It is known that $\liminf_{N\to\infty} N\mathrm{dis…

math.NT2020

Extreme and periodic $L_{2}$ discrepancy of plane point sets

Aicke Hinrichs, Ralph Kritzinger, Friedrich Pillichshammer

In this paper we study the extreme and the periodic $L_{2}$ discrepancy of plane point sets. The extreme discrepancy is based on arbitrary rectangles as test sets whereas the periodi…

math.MG2020

Dispersion of digital $(0, m, 2)$ -nets

Ralph Kritzinger

We study the dispersion of digital $(0, m, 2)$ -nets; i.e. the size of the largest axes-parallel box within such point sets. Digital nets are an important class of low-discrepancy poi…

Improved dispersion bounds for modified Fibonacci lattices

Extreme and periodic L2​ discrepancy of plane point sets

Dispersion of digital (0,m,2)-nets

Extreme and periodic $L_{2}$ discrepancy of plane point sets

Dispersion of digital $(0, m, 2)$ -nets