Geodesic
Automorphisms of subshifts defined by $\mathcal {B}$-free sets of integers
Mieczysław K. Mentzen1
1 Faculty of Mathematics and Computer Science Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland
Colloquium Mathematicum, Tome 147 (2017) no. 1, pp. 87-94.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We prove that for the subshifts defined by the sets of $\mathcal {B}$-free numbers, where $\sum _{b\in \mathcal {B}}{1/b} \lt \infty $ and the elements of $\mathcal {B}$ are pairwise coprime, the set of homeomorphisms commuting with the shift $T$ is trivial, i.e. $\operatorname {Aut}\nolimits (T)=\{T^n:n\in \mathbb {Z}\}$.
DOI : 10.4064/cm6927-5-2016
Keywords: prove subshifts defined sets mathcal free numbers where sum mathcal infty elements mathcal pairwise coprime set homeomorphisms commuting shift trivial operatorname aut nolimits mathbb

Mieczysław K. Mentzen 1

1 Faculty of Mathematics and Computer Science Nicholas Copernicus University Chopina 12/18 87-100 Toruń, Poland 
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Mieczysław K. Mentzen. Automorphisms of subshifts defined by $\mathcal {B}$-free sets of integers. Colloquium Mathematicum, Tome 147 (2017) no. 1, pp. 87-94. doi : 10.4064/cm6927-5-2016. http://geodesic.mathdoc.fr/articles/10.4064/cm6927-5-2016/

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