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math.NA2012
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}…
math.NA2012
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…