M\"{o}bius disjointness for topological models of ergodic systems with discrete spectrum
Dynamical Systems
2016-09-12 v2 Number Theory
Abstract
We provide a criterion for a point satisfying the required disjointness condition in Sarnak's M\"obius Disjointness Conjecture. As a direct application, we have that the conjecture holds for any topological model of an ergodic system with discrete spectrum.
Cite
@article{arxiv.1608.08289,
title = {M\"{o}bius disjointness for topological models of ergodic systems with discrete spectrum},
author = {Wen Huang and Zhiren Wang and Guohua Zhang},
journal= {arXiv preprint arXiv:1608.08289},
year = {2016}
}
Comments
15 pages, treats topological models of all ergodic systems with discrete spectra and supersedes previous version