Français
Spectrum of geodesic flow on negatively curved manifold
Multi angle
Authors : Tsujii, Masato (Author of the conference)
CIRM (Publisher )
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 (Publisher )
Loading the player...
|
Abstract :
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.
MSC Codes : 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]
|
Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 28/05/14 Conference Date : 05/12/13 Subseries : Research talks arXiv category : Dynamical Systems ; Mathematical Physics Mathematical Area(s) : Dynamical Systems & ODE ; Mathematical Physics Format : MP4 (.mp4) - HD Video Time : 00:56:42 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2013-12-05_Tsujii.mp4 
|
Information on the Event
Event Title : Jean-Morlet Chair : Hyperbolicity and dimension / Chaire Jean-Morlet : Hyperbolicité et dimensionEvent Organizers : Hasselblatt, Boris ; Pesin, Yakov ; Schmeling, Joerg ; Troubetzkoy, Serge ; Vaienti, Sandro Dates : 02/12/13 - 06/12/13 Event Year : 2013 Event URL : https://www.chairejeanmorlet.com/1071.html
Citation Data
DOI : 10.24350/CIRM.V.18577103Cite this video as: 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 |
Bibliography
