On invariant distributions and mixing

• Autores: Yves Coudene
• Localización: Ergodic theory and dynamical systems, ISSN 0143-3857, Vol. 27, Nº 1, 2007, págs. 109-112
• Idioma: inglés
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• Resumen

  • We show that any probability preserving transformation of a metric space is mixing as soon as there are no non-constant $L^2$-functions which are invariant under both the stable and unstable distributions. This generalizes a result of Babillot.