17 citations · 73 across the 39 of their papers we have counts for
4 papers · 1 filter
Irregularities of distributions and extremal sets in combinatorial complexity theory
Christoph Aistleitner, Aicke Hinrichs
In 2004 the second author of the present paper proved that a point set in which has star-discrepancy at most must necessarily consist of at least $c_{abs} d…
Tractability results for the weighted star-discrepancy
Christoph Aistleitner
The weighted star-discrepancy has been introduced by Sloan and Wo{ź}niakowski to reflect the fact that in multidimensional integration problems some coordinates of a function may b…
Probabilistic discrepancy bound for Monte Carlo point sets
Christoph Aistleitner, Markus Hofer
By a profound result of Heinrich, Novak, Wasilkowski, and Wo{ź}niakowski the inverse of the star-discrepancy $n^*(s,\ve)$ satisfies the upper bound $n^*(s,\ve) \leq c_{\mathrm{abs}…
On the inverse of the star-discrepancy
Christoph Aistleitner
The inverse of the star-discrepancy $N^*(d,\ve)$ denotes the smallest possible cardinality of a set of points in achieving a star-discrepancy of at most $\ve$. By a resul…