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Article Dans Une Revue Comptes Rendus. Mathématique Année : 2017

Fully oscillating sequences and weighted multiple ergodic limit

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Résumé

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. (C) 2017 Academie des sciences. Published by Elsevier Masson SAS.

Dates et versions

hal-03622006 , version 1 (28-03-2022)

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Aihua Fan. Fully oscillating sequences and weighted multiple ergodic limit. Comptes Rendus. Mathématique, 2017, 355 (8), pp.866-870. ⟨10.1016/j.crma.2017.07.008⟩. ⟨hal-03622006⟩
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