J. Dick

activity

20112026

most citedConsistency of Markov chain quasi-Monte Carlo on continuous state spaces

39 citations · 72 across the 13 of their papers we have counts for

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2 papers · 1 filter

math.NA2025

Second order interlaced polynomial lattice rules for integration over $R^{s}$

Tiangang Cui, Josef Dick, Friedrich Pillichshammer

We study numerical integration of functions $f : R^{s} \to R$ with respect to a probability measure. By applying the corresponding inverse cumulative distribution…

math.NA2025★ 1 cited

The star discrepancy of a union of randomly digitally shifted Korobov polynomial lattice point sets depends polynomially on the dimension

Josef Dick, Friedrich Pillichshammer

The star discrepancy is a quantitative measure of the uniformity of a point set in the unit cube. A central quantity of interest is the inverse of the star discrepancy, $N(\varepsi…

Second order interlaced polynomial lattice rules for integration over Rs

The star discrepancy of a union of randomly digitally shifted Korobov polynomial lattice point sets depends polynomially on the dimension

Second order interlaced polynomial lattice rules for integration over $R^{s}$