Upper Bound on the Density of Ruelle Resonances for Anosov Flows

作者：Faure Frederic^*; Sjoestrand Johannes

来源：Communications in Mathematical Physics, 2011, 308(2): 325-364.

DOI：10.1007/s00220-011-1349-z

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.

• 出版日期2011-12