Probabilistic aspects of multiple ergodic averages / Aspects probabilistes des moyennes ergodiques multiples

Collection Probabilistic aspects of multiple ergodic averages / Aspects probabilistes des moyennes ergodiques multiples

Organizer(s) Chazottes, Jean-René ; Kraaikamp, Cor ; Redig, Frank

Date(s) 05/12/2016 - 09/12/2016

linked URL http://conferences.cirm-math.fr/1512.html

00:00:00 / 00:00:00

5 6

Multiple ergodic theorems: old and new - Lecture 2

Also appears in collection : 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.

Information about the video

Date of recording 07/12/2016
Date of publication 14/12/2016
Institution CIRM
Licence CC BY NC ND
Language English
Audience Researchers
Director(s) Guillaume Hennenfent
Format MP4

Citation data

DOI 10.24350/CIRM.V.19099103
Cite this video Kra, Bryna (07/12/2016). Multiple ergodic theorems: old and new - Lecture 2. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19099103
URL https://dx.doi.org/10.24350/CIRM.V.19099103

Domain(s)

Bibliography

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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