Resumen de Stable ergodicity of certain linear automorphisms of the torus

Federico Rodríguez Hertz

• We find a class of ergodic linear automorphisms of TN that are stably ergodic. This class includes all non-Anosov ergodic automorphisms when N = 4. As a corollary, we obtain the fact that all ergodic linear automorphism of TN are stably ergodic when N ¡Ü 5.