Josef Dick, Aicke Hinrichs, Friedrich Pillichshammer, Joscha Prochno
Published 2019-10-28Version 1
We show that the minimal discrepancy of a point set in the $d$-dimensional unit cube with respect to Orlicz norms can exhibit both polynomial and weak tractability. In particular, we show that the $\psi_\alpha$-norms of exponential Orlicz spaces are polynomially tractable.
The $L_p$-discrepancy for finite $p>1$ suffers from the curse of dimensionality
The curse of dimensionality for the $L_p$-discrepancy with finite $p$
Tractability properties of the weighted star discrepancy of the Halton sequence
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