Dynamics of -free systems generated by Behrend sets. I
Stanisław Kasjan, Mariusz Lemańczyk, Sebastian Zuniga Alterman
Acta Arithmetica 209 (2023), 135-171
MSC: Primary 37B05; Secondary 37B10, 11N05, 11N25, 11N35.
DOI: 10.4064/aa220525-14-2
Opublikowany online: 11 May 2023
Streszczenie
We study the complexity of \mathscr B-free subshifts which are proximal and of zero entropy. Such subshifts are generated by Behrend sets. The complexity is shown to achieve any subexponential growth and is estimated for some classical subshifts (prime and semi-prime subshifts). We also show that \mathscr {B}-admissible subshifts are transitive only for coprime sets \mathscr B, which allows us to dynamically characterize the subshifts generated by Erdős sets.
Autorzy
- Stanisław KasjanFaculty of Mathematics and
Computer Science
Nicolaus Copernicus University
87-100 Toruń, Poland
e-mail
- Mariusz LemańczykFaculty of Mathematics and Computer Science
Nicolaus Copernicus University
87-100 Toruń, Poland
e-mail
- Sebastian Zuniga AltermanDepartment of Mathematics and Statistics
University of Turku
20014 Turku, Finland
e-mail