Semi-classical approach for Anosov diffeomorphisms and Ruelle resonances - Nonlinear Sciences > Chaotic DynamicsReport as inadecuate




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Abstract: In this paper, we show that some spectral properties of Anosovdiffeomorphisms can be obtained by semi-classical analysis. In particular theRuelle resonances which are eigenvalues of the Ruelle transfer operator actingin suitable anisotropic Sobolev spaces and which govern the decay of dynamicalcorrelations, can be treated as the quantum resonances of open quantum systemsin the Aguilar-Baslev-Combes theory or the more recent Helffer-Sjostrandphase-space theory.



Author: Frederic Faure, Nicolas Roy, Johannes Sjoestrand

Source: https://arxiv.org/







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