Upper bound on the density of Ruelle resonances for Anosov flows

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.
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Contributor : Frédéric Faure <>
Submitted on : Thursday, February 25, 2010 - 12:54:54 PM
Last modification on : Friday, June 8, 2018 - 2:50:07 PM
Long-term archiving on : Friday, June 18, 2010 - 6:35:00 PM

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  • HAL Id : hal-00459842, version 1
  • ARXIV : 1003.0513

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Frédéric Faure, Johannes Sjoestrand. Upper bound on the density of Ruelle resonances for Anosov flows. 2010. ⟨hal-00459842⟩

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