Complete spectral data for analytic Anosov maps of the torus
  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. 
Julia Slipantschuk, Oscar F. Bandtlow, Wolfram Just
nlin.CD math.DS math.SP