Fully oscillating sequences and weighted multiple ergodic limit
Dynamical Systems
2017-05-05 v1
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.
Keywords
Cite
@article{arxiv.1705.01769,
title = {Fully oscillating sequences and weighted multiple ergodic limit},
author = {Aihua Fan},
journal= {arXiv preprint arXiv:1705.01769},
year = {2017}
}