3 papers
math.DS2026
On automorphisms of -admissible and related subshifts
Aurelia Dymek, Nazrul Haque, StanisÅaw Kasjan
We adapt ideas of Kim and Roush [15], originally developed in the study of automorphisms of sofic subshifts, to obtain sufficient conditions under which a subshift has a huge autom…
math.DS2026
-free integers in number fields and dynamics
Francisco Araújo, Aurelia Dymek, Joanna KuÅaga-Przymus
In 2010, Sarnak initiated the study of the dynamics of the system determined by the square of the Möbius function (the characteristic function of the square-free integers). We dea…
math.DS2025
A note on -free sets and the existence of natural density
Aurelia Dymek, StanisÅaw Kasjan, Joanna KuÅaga-Przymus
Given , let be the correspoding set of multiples. We say that is taut…