Contact Anosov flows and the FBI transform

2010/10/03 by Masato Tsujii, Tsujii, Masato
Mathematics · Physics and Astronomy · #37A25 #37C30 #37D40 #Dynamical Systems (math.DS) #FOS: Mathematics #Functional Analysis (math.FA) #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1010.0396

openalex publication_date 2010/10/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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