English

Superdensity and super-micro-uniformity in non-integrable flat systems

Dynamical Systems 2024-04-26 v3

Abstract

We show that on any non-integrable finite polysquare translation surface, superdensity, an optimal form of time-quantitative density, leads to an optimal form of time-quantitative uniformity that we call super-micro-uniformity.

Keywords

Cite

@article{arxiv.2109.04836,
  title  = {Superdensity and super-micro-uniformity in non-integrable flat systems},
  author = {J. Beck and W. W. L. Chen},
  journal= {arXiv preprint arXiv:2109.04836},
  year   = {2024}
}

Comments

18 pages

R2 v1 2026-06-24T05:51:30.848Z