A brief remark on orbits of $SL(2,Z)$ in the euclidean plane

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/219497The repartition of dense orbits of $\textrm{SL}(2,\dr Z)$ in the euclidean plane is described by Ledrappier and Nogueira. We describe here the specific patterns one can see by experimentation, linking it to diophantine approximation theory.8 pages, 2 figuresDynamical Systems37A17A brief remark on orbits of $SL(2,Z)$ in the euclidean planetext