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Correlation spectrum of Morse-Smale flows
Multi angle
Authors : Rivière, Gabriel (Author of the conference)
CIRM (Publisher )
37D15 - Morse-Smale systems
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
58J51 - Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity
CIRM (Publisher )
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Abstract :
I will explain how one can get a complete description of the correlation spectrum of a Morse-Smale flow in terms of the Lyapunov exponents and of the periods of the flow. I will also discuss the relation of these results with differential topology.
This a joint work with Nguyen Viet Dang (Université Lyon 1).
Keywords : Morse-Smale flows; transfer operators; Pollicott-Ruelle resonances; Morse inequalities; Reidemeister torsion
MSC Codes : This a joint work with Nguyen Viet Dang (Université Lyon 1).
Keywords : Morse-Smale flows; transfer operators; Pollicott-Ruelle resonances; Morse inequalities; Reidemeister torsion
37D15 - Morse-Smale systems
37D40 - Dynamical systems of geometric origin and hyperbolicity (geodesic and horocycle flows, etc.)
58J51 - Relations between spectral theory and ergodic theory, e.g. quantum unique ergodicity
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 23/03/17 Conference Date : 15/03/17 Subseries : Research talks arXiv category : Dynamical Systems ; Geometric Topology ; Spectral Theory Mathematical Area(s) : Dynamical Systems & ODE ; PDE ; Topology Format : MP4 (.mp4) - HD Video Time : 00:57:43 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-03-15_Riviere.mp4 
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Information on the Event
Event Title : Resonances: geometric scattering and dynamics / Résonances : scattering géométrique et dynamiqueEvent Organizers : Guillarmou, Colin ; Hilgert, Joachim ; Pasquale, Angela ; Przebinda, Tomasz Dates : 13/03/17 - 17/03/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1604.html
Citation Data
DOI : 10.24350/CIRM.V.19143103Cite this video as: Rivière, Gabriel (2017). Correlation spectrum of Morse-Smale flows. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19143103 URI : http://dx.doi.org/10.24350/CIRM.V.19143103 |
See Also
- [Multi angle] Isomorphisms between eigenspaces of slow and fast transfer operators / Author of the conference Pohl, Anke.
- [Multi angle] Asymptotics of resonances for hyperbolic surfaces / Author of the conference Borthwick, David.
- [Multi angle] The stability of Kerr-de Sitter black holes / Author of the conference Hintz, Peter.
- [Post-edited] Microlocal analysis for Kerr-de Sitter black holes / Author of the conference Vasy, Andras.
Bibliography
- Dang, N.V., Rivière, G. (2017). Spectral analysis of Morse-Smale flows I: construction of the anisotropic spaces.
- https://hal.archives-ouvertes.fr/hal-01494300 - Dang, N.V., Rivière, G. (2017). Spectral analysis of morse-smale flows II: resonances and resonant states.
- https://hal.archives-ouvertes.fr/hal-01494316 - Dang, N.V., Rivière, G. (2017). Topology of Pollicott-Ruelle resonant states.
- https://hal.archives-ouvertes.fr/hal-01494325
