Dynamics of $\mathcal{B}$-free systems generated by Behrend sets. I

Stanisław Kasjan, Mariusz Lemańczyk, Sebastian Zuniga Alterman

We study the complexity of $\mathcal{B}$-free subshifts which are proximal and of zero entropy. Such subshifts are generated by Behrend sets. The complexity is shown to achieve any…