Contact Anosov flows and the FBI transform
classification
🧮 math.DS
math.FA
keywords
anosovcontactflowsoperatorsspectraltransfertransformacting
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This paper is about spectral properties of transfer operators for contact Anosov flows. The main result gives the essential spectral radius of the transfer operators acting on the so-called anisotropic Sobolev space exactly in terms of dynamical exponents. Also we provide a simplified proof by using the FBI transform.
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