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 2017Show all

3 papers · 1 filter

math.NT2017

Finding exact formulas for the $L_{2}$ discrepancy of digital $(0, n, 2)$ -nets via Haar functions

Ralph Kritzinger

We use the Haar function system in order to study the $L_{2}$ discrepancy of a class of digital $(0, n, 2)$ -nets. Our approach yields exact formulas for this quantity, which measures t…

math.NT2017

A reduced fast construction of polynomial lattice point sets with low weighted star discrepancy

Ralph Kritzinger, Helene Laimer, Mario Neumüller

The weighted star discrepancy is a quantitative measure for the performance of point sets in quasi-Monte Carlo algorithms for numerical integration. We consider polynomial lattice…

math.NT2017

Optimal discrepancy rate of point sets in Besov spaces with negative smoothness

Ralph Kritzinger

We consider the local discrepancy of a symmetrized version of Hammersley type point sets in the unit square. As a measure for the irregularity of distribution we study the norm of…

Finding exact formulas for the L2​ discrepancy of digital (0,n,2)-nets via Haar functions

A reduced fast construction of polynomial lattice point sets with low weighted star discrepancy

Optimal discrepancy rate of point sets in Besov spaces with negative smoothness

Finding exact formulas for the $L_{2}$ discrepancy of digital $(0, n, 2)$ -nets via Haar functions