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Fully oscillating sequences and weighted multiple ergodic limit

Authors :
Fan, Aihua
Publication Year :
2017

Abstract

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.

Subjects

Subjects :
Mathematics - Dynamical Systems

Details

Database :
arXiv
Publication Type :
Report
Accession number :
edsarx.1705.01769
Document Type :
Working Paper