J. Dick

activity

20082026

most citedWalsh spaces containing smooth functions and quasi-Monte Carlo rules of arbitrary high order

138 citations · 788 across the 67 of their papers we have counts for

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Showing 2012 · math.NTShow all

2 papers · 2 filters

math.NT2012★ 1 cited

Discrepancy bounds for infinite-dimensional order two digital sequences over $F_{2}$

Josef Dick

In this paper we provide explicit constructions of digital sequences over the finite field of order 2 in the infinite dimensional unit cube whose first $N$ points projected onto th…

math.NT2012★ 6 cited

Optimal $L_{2}$ discrepancy bounds for higher order digital sequences over the finite field $F_{2}$

Josef Dick, Friedrich Pillichshammer

We show that the $L_{2}$ discrepancy of the explicitly constructed infinite sequences of points $(x_{0}, x_{1}, x_{2}, ...)$ in $[0, 1)^{s}$ ove…

Discrepancy bounds for infinite-dimensional order two digital sequences over F2​

Optimal L2​ discrepancy bounds for higher order digital sequences over the finite field F2​

Discrepancy bounds for infinite-dimensional order two digital sequences over $F_{2}$

Optimal $L_{2}$ discrepancy bounds for higher order digital sequences over the finite field $F_{2}$