Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
The existence of good extensible rank-1 lattices
Journal of Complexity
Some open problems concerning the star-discrepancy
Journal of Complexity
Covering numbers, vapnik-červonenkis classes and bounds for the star-discrepancy
Journal of Complexity
Bounds and constructions for the star-discrepancy via δ-covers
Journal of Complexity
Constructions of (t ,m,s)-nets and (t,s)-sequences
Finite Fields and Their Applications
Tractability properties of the weighted star discrepancy
Journal of Complexity
On the inverse of the discrepancy for infinite dimensional infinite sequences
Journal of Complexity
| Hi-index | 0.01 |
It was shown by Heinrich et al. [The inverse of the star-discrepancy depends linearly on the dimension, Acta Arith. 96 (2001) 279-302] that there exist point sets for which the inverse of the star discrepancy depends linearly on the dimension. In this paper we extend those results by showing that there exist point sets extensible in the modulus and the dimension for which the star discrepancy satisfies a tractability bound for all dimensions and moduli.