English

A remark on the minimal dispersion

Classical Analysis and ODEs 2021-09-28 v4

Abstract

We improve known upper bounds for the minimal dispersion of a point set in the unit cube and its inverse in both the periodic and non-periodic settings. Some of our bounds are sharp up to logarithmic factors.

Keywords

Cite

@article{arxiv.2005.12243,
  title  = {A remark on the minimal dispersion},
  author = {A. E. Litvak},
  journal= {arXiv preprint arXiv:2005.12243},
  year   = {2021}
}

Comments

More typos are corrected. No other changes. The paper (without corrections) has appeared in Comm. in Cont. Math. 23/6 (2021), 2050060

R2 v1 2026-06-23T15:47:50.192Z