no. 8
Mathematical analysis/Dynamical systems
Fully oscillating sequences and weighted multiple ergodic limit
[Suites pleinement oscillantes et limite des moyennes multi-ergodiques pondérées]

Présenté par : Yves Meyer

Fan, Aihua1, 2
1 LAMFA, UMR 7352 CNRS, Université de Picardie, 33, rue Saint-Leu, 80039 Amiens, France
2 School of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079, China
Comptes Rendus. Mathématique, Tome 355 (2017) no. 8, pp. 866-870.

Nous montrons que les suites pleinement oscillantes sont orthogonales aux réalisations d'une application affine d'entropie nulle sur un groupe abélien compact. Ceci est plus que ce que demande la conjecture de Sarnak à ces systèmes dynamiques.

We prove that fully oscillating sequences are orthogonal to multiple ergodic realizations of affine maps of zero entropy on compact Abelian groups. It is more than what Sarnak's conjecture requires for these dynamical systems.

Reçu le :
Accepté le :
Publié le :
DOI : 10.1016/j.crma.2017.07.008
Fan, Aihua 1, 2

1 LAMFA, UMR 7352 CNRS, Université de Picardie, 33, rue Saint-Leu, 80039 Amiens, France
2 School of Mathematics and Statistics, Huazhong Normal University, Wuhan 430079, China 
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Fan, Aihua. Fully oscillating sequences and weighted multiple ergodic limit. Comptes Rendus. Mathématique, Tome 355 (2017) no. 8, pp. 866-870. doi : 10.1016/j.crma.2017.07.008. http://www.numdam.org/articles/10.1016/j.crma.2017.07.008/

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