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20102024
most citedOptimal quasi-Monte Carlo rules on order 2 digital nets for the numerical integration of multivariate periodic functions

25 citations · 135 across the 12 of their papers we have counts for

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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…