Complete spectral data for analytic Anosov maps of the torus
Chaotic Dynamics
2017-06-07 v1 Dynamical Systems
Spectral Theory
Abstract
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.
Keywords
Cite
@article{arxiv.1605.02883,
title = {Complete spectral data for analytic Anosov maps of the torus},
author = {Julia Slipantschuk and Oscar F. Bandtlow and Wolfram Just},
journal= {arXiv preprint arXiv:1605.02883},
year = {2017}
}
Comments
19 pages, 4 figures