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Multi angle
Multiple ergodic theorems: old and new - Lecture 3
Auteurs : Kra, Bryna (Auteur de la Conférence)
CIRM (Editeur )
CIRM (Editeur )
- [Multi angle] Operators in ergodic theory - Lecture 3: Compact semigroups and splitting theorems / Auteur de la Conférence Haase, Markus.
- [Multi angle] Operators in ergodic theory - Lecture 2: Dilations and joinings / Auteur de la Conférence Haase, Markus.
- [Multi angle] Operators in ergodic theory - Lecture 1: Operators dynamics versus base space dynamics / Auteur de la Conférence Haase, Markus.
- [Multi angle] Multiple ergodic theorems: old and new - Lecture 2 / Auteur de la Conférence Kra, Bryna.
- [ Post-edited] Multiple ergodic theorems: old and new - Lecture 1 / Auteur de la Conférence Kra, Bryna.
- Host, B., & Kra, B. (2005). Nonconventional ergodic averages and nilmanifolds. Annals of Mathematics Second Series, 161(1), 397-488 - http://dx.doi.org/10.4007/annals.2005.161.397
- Host, B., & Kra, B. (2005). Convergence of polynomial ergodic averages. Israel Journal of Mathematics, 149, 1-19 - http://dx.doi.org/10.1007/BF02772534
- Leibman, A. (2005). Convergence of multiple ergodic averages along polynomials of several variables. Israel Journal of Mathematics, 146, 303-315 - http://dx.doi.org/10.1007/BF02773538
- Walsh, M.N. (2012). Norm convergence of nilpotent ergodic averages
Annals of Mathematics Second Series, 175(3), 1667-1688 - http://dx.doi.org/10.4007/annals.2012.175.3.15
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Résumé :
The classic mean ergodic theorem has been extended in numerous ways: multiple averages, polynomial iterates, weighted averages, along with combinations of these extensions. I will give an overview of these advances and the different techniques that have been used, focusing on convergence results and what can be said about the limits.
Codes MSC : 37A05 - Measure-preserving transformations
37A15 - General groups of measure-preserving transformations
37A25 - Ergodicity, mixing, rates of mixing
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Informations sur la Vidéo
Langue : AnglaisDate de publication : 14/12/16 Date de captation : 08/12/16 Collection : Research talks ; Dynamical Systems and Ordinary Differential Equations ; Number Theory Format : MP4 Durée : 00:49:47 Domaine : Number Theory ; Dynamical Systems & ODE Audience : Chercheurs ; Doctorants , Post - Doctorants Download : https://videos.cirm-math.fr/2016-12-08_Kra_part3.mp4 
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Informations sur la rencontre
Nom de la rencontre : Probabilistic aspects of multiple ergodic averages / Aspects probabilistes des moyennes ergodiques multiplesOrganisateurs de la rencontre : Chazottes, Jean-René ; Kraaikamp, Cor ; Redig, Frank Dates : 05/12/16 - 09/12/16 Année de la rencontre : 2016 URL Congrès : http://conferences.cirm-math.fr/1512.html Citation Data
DOI : 10.24350/CIRM.V.19099203Cite this video as: Kra, Bryna (2016). Multiple ergodic theorems: old and new - Lecture 3. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19099203 URI : http://dx.doi.org/10.24350/CIRM.V.19099203 |
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