English

The BMO-discrepancy suffers from the curse of dimensionality

Number Theory 2023-02-02 v3 Numerical Analysis Numerical Analysis

Abstract

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

Keywords

Cite

@article{arxiv.2301.06853,
  title  = {The BMO-discrepancy suffers from the curse of dimensionality},
  author = {Friedrich Pillichshammer},
  journal= {arXiv preprint arXiv:2301.06853},
  year   = {2023}
}