Weakly mixing systems with dense prime orbits
Volume 169 / 2022
Colloquium Mathematicum 169 (2022), 11-23
MSC: Primary 37C40.
DOI: 10.4064/cm8424-8-2021
Published online: 24 January 2022
Abstract
We show existence of smooth, weakly mixing reparametrizations of some linear flows on $\mathbb {T}^2$ for which all orbits sampled at prime times are dense.