Hotspot lemmas for non-compact spaces
Dynamical Systems
2019-12-24 v1 Number Theory
Abstract
We extend the hotspot lemma, or Piatetski\u{i}-Shapiro normality criterion, to dynamical systems on non-compact spaces. We build on the work of N. G. Moshchevitin and I. D. Shkredov, noting an issue in some of their proofs, and adding a necessary and sufficient condition to remove this issue.
Cite
@article{arxiv.1912.10265,
title = {Hotspot lemmas for non-compact spaces},
author = {Dylan Airey and Bill Mance},
journal= {arXiv preprint arXiv:1912.10265},
year = {2019}
}
Comments
4 pages