Möbius disjointness for topological models of ergodic systems with discrete spectrum

Wen Huang; Zhiren Wang; Guohua Zhang

doi:10.3934/jmd.2019010

Article Contents

2019, Volume 14: 277-290. Doi: 10.3934/jmd.2019010

This volume Previous Article An infinite surface with the lattice property Ⅱ: Dynamics of pseudo-Anosovs Next Article Long hitting time for translation flows and L-shaped billiards

Möbius disjointness for topological models of ergodic systems with discrete spectrum

1.
School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui 230026, China
2.
Department of Mathematics, The Pennsylvania State University, University Park, PA 16802, USA
3.
School of Mathematical Sciences and Shanghai Center for Mathematical Sciences, Fudan University, Shanghai 200433, China

Received: December 13, 2017

Revised: June 07, 2018

Published: March 2019

WH: Supported by NSFC (11431012 and 11731003).
ZW: Supported by NSF (DMS-1451247 and DMS-1501095).
GZ: Supported by NSFC (11671094, 11722103 and 11731003).

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Abstract

We provide a criterion for a point satisfying the required disjointness condition in Sarnak's Möbius Disjointness Conjecture. As a direct application, we have that the conjecture holds for any topological model of an ergodic system with discrete spectrum.

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Mathematics Subject Classification: Primary: 37B05; Secondary: 11N37.

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References

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