On expansions of $(\mathbf{Z},+,0)$

Quentin Lambotte, Françoise Point

Call a (strictly increasing) sequence $(r_n)$ of natural numbers \emph{regular} if it satisfies the following condition: $r_{n+1}/r_n\to \theta \in {\mathbb{R}}^{>1}\cup \{\infty \}$ and,…