Farey graphs and geodesic expansions of complex continued fractions

Hitoshi Nakada, Rie Natsui, Jörg Thuswaldner

We discuss complex Farey graphs for the Euclidean imaginary quadratic number fields $\mathbb{Q}(\sqrt{-d})$, $d\in \{1,2,3,7,11\}$. We study hyperbolic versions of A. Schmidt's F…