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Mixing and rates of mixing for infinite measure flows
Multi angle
Authors : Melbourne, Ian (Author of the conference)
CIRM (Publisher )
37A25 - Ergodicity, mixing, rates of mixing
37A50 - Relations with probability theory and stochastic processes
37D25 - Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
37A40 - Nonsingular (and infinite-measure preserving) transformations
CIRM (Publisher )
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Abstract :
We obtain results on mixing and rates of mixing for infinite measure semiflows and flows. The results on rates of mixing rely on operator renewal theory and a Dolgopyat-type estimate. The results on mixing hold more generally and are based on a deterministic (ie non iid) version of Erickson's continuous time strong renewal theorem.
MSC Codes : 37A25 - Ergodicity, mixing, rates of mixing
37A50 - Relations with probability theory and stochastic processes
37D25 - Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
37A40 - Nonsingular (and infinite-measure preserving) transformations
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 03/03/17 Conference Date : 22/02/17 Subseries : Research talks arXiv category : Dynamical Systems Mathematical Area(s) : Dynamical Systems & ODE Format : MP4 (.mp4) - HD Video Time : 00:58:15 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2017-02-22_Melbourne.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.19129003Cite this video as: Melbourne, Ian (2017). Mixing and rates of mixing for infinite measure flows. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19129003 URI : http://dx.doi.org/10.24350/CIRM.V.19129003 |
See Also
- [Multi angle] Fast-Slow partially hyperbolic systems: an example / Author of the conference Liverani, Carlangelo.
- [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
- Bruin, H., Melbourne, I., & Terhesiu, D. (2016). Rates of mixing for nonMarkov infinite measure semiflows.
