138 citations · 788 across the 67 of their papers we have counts for
Showing 2016 · math.NTShow all
2 papers · 2 filters
math.NT2016
Discrepancy of second order digital sequences in function spaces with dominating mixed smoothness
Josef Dick, Aicke Hinrichs, Lev Markhasin +1
The discrepancy function measures the deviation of the empirical distribution of a point set in from the uniform distribution. In this paper, we study the classical discr…
math.NT2016★ 6 cited
Optimal -discrepancy bounds for second order digital sequences
Josef Dick, Aicke Hinrichs, Lev Markhasin +1
The -discrepancy is a quantitative measure for the irregularity of distribution modulo one of infinite sequences. In 1986 Proinov proved for all a lower bound for the $L…