2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/70971We proved that any Lorentz transformation of 2-torus is Anosov automorphism. One completely describes admissible parameters of Lorentz transformations and their arithmetical properties. One proved that an admissible speed light parameter has a countable spectra accumulating to this parameter.Dynamical SystemsOn arithmetical and dynamical properties of Lorentz maps of the torustext