English
Spectrum of geodesic flow on negatively curved manifold
Multi angle
Auteurs : Tsujii, Masato (Auteur de la Conférence)
CIRM (Editeur )
37C30 - Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
53D25 - Geodesic flows
81Q50 - Quantum chaos [See also 37Dxx]
CIRM (Editeur )
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Résumé :
We consider the one-parameter families of transfer operators for geodesic flows on negatively curved manifolds. We show that the spectra of the generators have some "band structure" parallel to the imaginary axis. As a special case of "semi-classical" transfer operator, we see that the eigenvalues concentrate around the imaginary axis with some gap on the both sides.
Codes MSC : 37C30 - Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
53D25 - Geodesic flows
81Q50 - Quantum chaos [See also 37Dxx]
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Informations sur la Vidéo
Réalisateur : Hennenfent, GuillaumeLangue : Anglais Date de publication : 28/05/14 Date de captation : 05/12/13 Sous collection : Research talks arXiv category : Dynamical Systems ; Mathematical Physics Domaine : Dynamical Systems & ODE ; Mathematical Physics Format : MP4 (.mp4) - HD Durée : 00:56:42 Audience : Researchers Download : https://videos.cirm-math.fr/2013-12-05_Tsujii.mp4 
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Informations sur la Rencontre
Nom de la rencontre : Jean-Morlet Chair : Hyperbolicity and dimension / Chaire Jean-Morlet : Hyperbolicité et dimensionOrganisateurs de la rencontre : Hasselblatt, Boris ; Pesin, Yakov ; Schmeling, Joerg ; Troubetzkoy, Serge ; Vaienti, Sandro Dates : 02/12/13 - 06/12/13 Année de la rencontre : 2013 URL Congrès : https://www.chairejeanmorlet.com/1071.html
Données de citation
DOI : 10.24350/CIRM.V.18577103Citer cette vidéo: Tsujii, Masato (2013). Spectrum of geodesic flow on negatively curved manifold. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18577103 URI : http://dx.doi.org/10.24350/CIRM.V.18577103 |
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