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Fast-Slow partially hyperbolic systems: an example
Multi angle
Authors : Liverani, Carlangelo (Author of the conference)
CIRM (Publisher )
37A25 - Ergodicity, mixing, rates of mixing
37A50 - Relations with probability theory and stochastic processes
37C30 - Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
37D30 - Partially hyperbolic systems and dominated splittings
60F17 - Functional limit theorems; invariance principles
CIRM (Publisher )
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Abstract :
I will discuss the simplest possible (non trivial) example of a fast-slow partially hyperbolic system with particular emphasis on the problem of establishing its statistical properties.
MSC Codes : 37A25 - Ergodicity, mixing, rates of mixing
37A50 - Relations with probability theory and stochastic processes
37C30 - Zeta functions, (Ruelle-Frobenius) transfer operators, and other functional analytic techniques in dynamical systems
37D30 - Partially hyperbolic systems and dominated splittings
60F17 - Functional limit theorems; invariance principles
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 02/03/2017 Conference Date : 23/02/2017 Subseries : Research talks arXiv category : Dynamical Systems ; Probability Mathematical Area(s) : Dynamical Systems & ODE ; Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 01:01:15 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-02-23_Liverani.mp4 
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Information on the Event
Event Title : Non uniformly hyperbolic dynamical systems. Coupling and renewal theory / Systèmes dynamiques non uniformement et partiellement hyperboliques. Couplage, renouvellementEvent Organizers : Troubetzkoy, Serge ; Vaienti, Sandro Dates : 20/02/17 - 24/02/17 Event Year : 2017 Event URL : http://conferences.cirm-math.fr/1714.html
Citation Data
DOI : 10.24350/CIRM.V.19129103Cite this video as: Liverani, Carlangelo (2017). Fast-Slow partially hyperbolic systems: an example. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19129103 URI : http://dx.doi.org/10.24350/CIRM.V.19129103 |
See Also
- [Multi angle] Mixing and rates of mixing for infinite measure flows / Author of the conference Melbourne, Ian.
- [Multi angle] Central limit theorems for circle packings / Author of the conference Pollicott, Mark.
- [Multi angle] Generic properties of the geodesic flow in nonpositive curvature / Author of the conference Coudène, Yves.
- [Post-edited] Singular hyperbolicity and homoclinic tangencies of 3-dimensional flows / Author of the conference Crovisier, Sylvain.
Bibliography
- de Simoi, J., Liverani, C., Poquet, C., & Volk, D. (2016). Fast-slow partially hyperbolic systems versus Freidlin-Wentzell random systems.
