2 research outputs found
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.Comment: 19 pages, 4 figure