3 papers
math.NT2019
Lower bounds on the discrepancy of digital NUT sequences
Ralph Kritzinger, Friedrich Pillichshammer
We study the discrepancy of digital NUT sequences which are an important sub-class of digital -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 points in the unit interval are often measured with various notions of discrepancy. The discrepancy function can be defined with respect…
math.NT2018
Digital nets in dimension two with the optimal order of discrepancy
Ralph Kritzinger, Friedrich Pillichshammer
We study the discrepancy of two-dimensional digital nets for finite . In the year 2001 Larcher and Pillichshammer identified a class of digital nets for which the symmetri…