Dylan Airey, Bill Mance
Published 2019-12-21Version 1
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.
Orderings of the rationals and dynamical systems
Mean sensitive, mean equicontinuous and almost periodic functions for dynamical systems
Convergence of Marked Point Processes of Excesses for Dynamical Systems
![QR code for arXiv:1912.10265 [math.DS]](http://oss.arxitics.com/images/favicon.svg)