Geodesic
Norm convergence of nilpotent ergodic averages
Miguel N. Walsh1
1 Departamento de Matemática - 2012, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Annals of mathematics, Tome 175 (2012) no. 3, pp. 1667-1688.

Voir la notice de l'article provenant de la source Annals of Mathematics website

We show that multiple polynomial ergodic averages arising from nilpotent groups of measure preserving transformations of a probability space always converge in the $L^2$ norm.
DOI : 10.4007/annals.2012.175.3.15

Miguel N. Walsh 1

1 Departamento de Matemática - 2012, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina 
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Miguel N. Walsh. Norm convergence of nilpotent ergodic averages. Annals of mathematics, Tome 175 (2012) no. 3, pp. 1667-1688. doi : 10.4007/annals.2012.175.3.15. http://geodesic.mathdoc.fr/articles/10.4007/annals.2012.175.3.15/

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