The inverse of the star discrepancy of a union of randomly shifted Korobov rank-1 lattice point sets depends polynomially on the dimension

Jiarui Du, Josef Dick

The inverse of the star discrepancy, $N(\hat{I}\mu ,s)$, defined as the minimum number of points required to achieve a star discrepancy of at most $\hat{I}\mu$ in dimension $s$, is known to depend…