Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances
Chaotic Dynamics
2009-05-11 v3
Abstract
In this paper, we show that some spectral properties of Anosov diffeomorphisms can be obtained by semi-classical analysis. In particular the Ruelle resonances which are eigenvalues of the Ruelle transfer operator acting in suitable anisotropic Sobolev spaces and which govern the decay of dynamical correlations, can be treated as the quantum resonances of open quantum systems in the Aguilar-Baslev-Combes theory or the more recent Helffer-Sjostrand phase-space theory.
Cite
@article{arxiv.0802.1780,
title = {Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances},
author = {Frederic Faure and Nicolas Roy and Johannes Sjoestrand},
journal= {arXiv preprint arXiv:0802.1780},
year = {2009}
}
Comments
48 pages