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 2019Show all

2 papers · 1 filter

math.NT2019

Lower bounds on the $L_{p}$ discrepancy of digital NUT sequences

Ralph Kritzinger, Friedrich Pillichshammer

We study the $L_{p}$ discrepancy of digital NUT sequences which are an important sub-class of digital $(0, 1)$ -sequences in the sense of Niederreiter. The main result is a lower bound…

math.NT2019

Extremal Distributions of Discrepancy functions

Ralph Kritzinger, Markus Passenbrunner

The irregularities of a distribution of $N$ points in the unit interval are often measured with various notions of discrepancy. The discrepancy function can be defined with respect…

Lower bounds on the Lp​ discrepancy of digital NUT sequences

Extremal Distributions of Discrepancy functions

Lower bounds on the $L_{p}$ discrepancy of digital NUT sequences