Français
Les limites faibles des puissances de l'automorphisme de Chacon
Multi angle
Authors : Janvresse, Elise (Author of the conference)
CIRM (Publisher )
37A05 - Measure-preserving transformations
CIRM (Publisher )
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Abstract :
We completely describe the weak closure of the powers of the Koopman operator associated to Chacon's classical automorphism. We show that weak limits of these powers are the ortho-projector to constants and an explicit family of polynomials. As a consequence, we answer negatively the question of alpha-weak mixing for Chacon's automorphism.
Chacon's automorphism - Koopman operator - weak limit - alpha-weak mixing
MSC Codes : Chacon's automorphism - Koopman operator - weak limit - alpha-weak mixing
37A05 - Measure-preserving transformations
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Information on the Video
Film maker : Hennenfent, GuillaumeLanguage : French Available date : 25/08/14 Conference Date : 27/05/14 Subseries : Research talks arXiv category : Dynamical Systems Mathematical Area(s) : Dynamical Systems & ODE Format : MP4 (.mp4) - HD Video Time : 00:45:00 Targeted Audience : Researchers Download : https://videos.cirm-math.fr/2014-05-27_Janvresse.mp4 
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Information on the Event
Event Title : Probabilities days / Journées de probabilitésEvent Organizers : Emery, Michel ; Donati-Martin, Catherine ; Lejay, Antoine ; Rouault, Alain Dates : 26/05/14 - 30/05/14 Event Year : 2014 Event URL : http://jp2014.iecn.u-nancy.fr/
Citation Data
DOI : 10.24350/CIRM.V.18588003Cite this video as: Janvresse, Elise (2014). Les limites faibles des puissances de l'automorphisme de Chacon. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.18588003 URI : http://dx.doi.org/10.24350/CIRM.V.18588003 |
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