The BMO-discrepancy suffers from the curse of dimensionality

Abstract

We show that the minimal discrepancy of a point set in the $d$-dimensional unit cube with respect to the BMO seminorm suffers from the curse of dimensionality.

References in corpus (1)

• Tractability properties of the discrepancy in Orlicz norms

Cited by in corpus (1)

• The curse of dimensionality for the $L_p$-discrepancy with finite $p$