Multiple ergodic theorems: old and new - Lecture 1 | Vidéo | Carmin.tv

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Chapitres

Multiple ergodic theorems: old and new - Lecture 1

Apparaît dans les collections : Probabilistic aspects of multiple ergodic averages / Aspects probabilistes des moyennes ergodiques multiples, Exposés de recherche

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.

Informations sur la vidéo

Date de captation 07/12/2016
Date de publication 14/12/2016
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19098803
Citer cette vidéo Kra, Bryna (07/12/2016). Multiple ergodic theorems: old and new - Lecture 1. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19098803
URL https://dx.doi.org/10.24350/CIRM.V.19098803

Domaine(s)

Bibliographie

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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