Stable ergodicity of certain linear automorphisms of the torus

• Autores: Federico Rodríguez Hertz
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 162, Nº 1, 2005, págs. 65-107
• Idioma: inglés
• DOI: 10.4007/annals.2005.162.65
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• Resumen

  • 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.