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Weakly mixing systems with dense prime orbits

Volume 169 / 2022

Aaron Benda 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.

Authors

  • Aaron BendaUniversity of Texas at Austin
    2515 Speedway, PMA 8.100
    Austin, TX 78712, USA
    e-mail

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