English

A note on the Kronecker--Weyl equidistribution theorem

Dynamical Systems 2024-05-30 v2 Number Theory

Abstract

We study the relationship between the discrete and the continuous versions of the Kronecker--Weyl equidistribution theorem, as well as their possible extension to manifolds in higher dimensions. We also investigate a way to deduce in some limited way uniformity results in higher dimension from results in lower dimension.

Keywords

Cite

@article{arxiv.2404.00077,
  title  = {A note on the Kronecker--Weyl equidistribution theorem},
  author = {J. Beck and W. W. L. Chen and Y. Yang},
  journal= {arXiv preprint arXiv:2404.00077},
  year   = {2024}
}

Comments

12 pages, 1 figure

R2 v1 2026-06-28T15:38:41.096Z