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Complete spectral data for analytic Anosov maps of the torus

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 نشر من قبل Julia Slipantschuk
 تاريخ النشر 2016
  مجال البحث فيزياء
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Using analytic properties of Blaschke factors we construct a family of analytic hyperbolic diffeomorphisms of the torus for which the spectral properties of the associated transfer operator acting on a suitable Hilbert space can be computed explicitly. As a result, we obtain explicit expressions for the decay of correlations of analytic observables without resorting to any kind of perturbation argument.



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