Upper bound on the density of Ruelle resonances for Anosov flows
Mathematical Physics
2015-05-18 v1 Dynamical Systems
math.MP
Spectral Theory
Abstract
Using a semiclassical approach we show that the spectrum of a smooth Anosov vector field V on a compact manifold is discrete (in suitable anisotropic Sobolev spaces) and then we provide an upper bound for the density of eigenvalues of the operator (-i)V, called Ruelle resonances, close to the real axis and for large real parts.
Keywords
Cite
@article{arxiv.1003.0513,
title = {Upper bound on the density of Ruelle resonances for Anosov flows},
author = {Frédéric Faure and Johannes Sjoestrand},
journal= {arXiv preprint arXiv:1003.0513},
year = {2015}
}
Comments
57 pages