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Return times statistics for balls in dynamical systems
Multi angle
Authors : Haydn, Nicolai (Author of the conference)
CIRM (Publisher )
CIRM (Publisher )
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Abstract :
It is shown that for systems that allow a Young tower construction with polynomially decaying correlations the return times to metric balls are in the limit Poisson distributed. The error terms are powers of logarithm of the radius and so is the size of the forbidden set which one has to exclude. In particular it shows that the return times to balls is Poissonian for SRB measures on attractors.
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : English Available date : 22/08/14 Conference Date : 15/07/14 Subseries : Research talks arXiv category : Dynamical Systems ; Probability Mathematical Area(s) : Dynamical Systems & ODE ; Probability & Statistics Format : MP4 (.mp4) - HD Video Time : 00:56:45 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-07-15_Haydn.mp4 
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Information on the Event
Event Title : Extreme value theory and laws of rare events / Théorie des valeurs extrêmes et lois des évènements raresEvent Organizers : Freitas, Ana Cristina ; Freitas, Jorge ; Todd, Michael J. ; Vaienti, Sandro Dates : 14/07/14 - 18/07/14 Event Year : 2014 Event URL : http://www.mcs.st-and.ac.uk/~miket/CIRM_...
Citation Data
DOI : 10.24350/CIRM.V.18579303Cite this video as: Haydn, Nicolai (2014). Return times statistics for balls in dynamical systems. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18579303 URI : http://dx.doi.org/10.24350/CIRM.V.18579303 |
See Also
- [Multi angle] The almost sure invariance principle for beta-mixing measures / Author of the conference Haydn, Nicolai.
Bibliography
