English

Weyl's uniform distribution under periodic perturbation

Classical Analysis and ODEs 2022-05-09 v1

Abstract

We examine the uniform distribution theory of H. Weyl when there is a periodic perturbation present. As opposed to the classical setting, in this case the conditions for (mod 1) density and (mod 1) uniform distribution turn out to be different.

Keywords

Cite

@article{arxiv.2205.03249,
  title  = {Weyl's uniform distribution under periodic perturbation},
  author = {Vilmos Totik},
  journal= {arXiv preprint arXiv:2205.03249},
  year   = {2022}
}
R2 v1 2026-06-24T11:09:24.438Z