Random number generation and quasi-Monte Carlo methods
Random number generation and quasi-Monte Carlo methods
The exponent of discrepancy is at least 1.0669
Journal of Complexity
Open problems for tractability of multivariate integration
Journal of Complexity
Open problems for tractability of multivariate integration
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
Note: A note on the existence of sequences with small star discrepancy
Journal of Complexity
Tractability properties of the weighted star discrepancy
Journal of Complexity
Bounds and constructions for the star-discrepancy via δ-covers
Journal of Complexity
A New Randomized Algorithm to Approximate the Star Discrepancy Based on Threshold Accepting
SIAM Journal on Numerical Analysis
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We discuss open problems on the minimal star-discrepancy of an n-point set in the d-dimensional unit cube [0, 1]d. We emphasize the aspect of dimension dependence and of simultaneous dependence on n and d.