Weak mixing for interval exchange transformations and translation flows

• Autores: Artur Avila, Giovanni Forni
• Localización: Annals of mathematics, ISSN 0003-486X, Vol. 165, Nº 2, 2007, págs. 637-664
• Idioma: inglés
• DOI: 10.4007/annals.2007.165.637
• Texto completo no disponible (Saber más ...)
• Resumen

  • We prove that a typical interval exchange transformation is either weakly mixing or it is an irrational rotation. We also conclude that a typical translation ow on a typical translation surface of genus g  2 (with prescribed singularity types) is weakly mixing.