Semiclassical Approach for the Ruelle-Pollicott Spectrum of Hyperbolic Dynamics

DOI10.1007/978-3-319-04807-9_2zbMath1352.37062OpenAlexW4298865535MaRDI QIDQ5259667

Frédéric Faure, Masato Tsujii

Publication date: 29 June 2015

Published in: Springer INdAM Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-04807-9_2

zbMATH Keywords

geodesic flowsemiclassical analysiscontact Anosov flowspectral approachhigh Fourier modesRuelle-Pollicott spectrumuniformly hyperbolic dynamics

Mathematics Subject Classification ID

Quantum chaos (81Q50) Spectrum, resolvent (47A10) Structural stability and analogous concepts of solutions to ordinary differential equations (34D30) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Pseudodifferential and Fourier integral operators on manifolds (58J40) Semiclassical techniques, including WKB and Maslov methods applied to problems in quantum theory (81Q20) Uniformly hyperbolic systems (expanding, Anosov, Axiom A, etc.) (37D20) Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.) (37D40) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30)

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