THE CHOWLA AND THE SARNAK CONJECTURES FROM ERGODIC THEORY POINT OF VIEW

被引：43

作者：

El Abdalaoui, El Houcelin ^{[1
]}

Kulaga-Przymus, Joanna ^{[2
,3
]}

Lemanczyk, Mariusz ^{[3
]}

de la Rue, Thierry ^{[1
]}

机构：

[1] Univ Rouen, CNRS, Normandie Univ, Lab Math Raphael Salem, Ave Univ, F-76801 St Etienne Du Rouvray, France

[2] Polish Acad Sci, Inst Math, Sniadeckich 8, PL-00956 Warsaw, Poland

[3] Nicholas Copernicus Univ, Fac Math & Comp Sci, Chopina 12-18, PL-87100 Torun, Poland

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2017年 / 37卷 / 06期

关键词：

Chowla conjecture; Sarnak conjecture; Mobius orthogonality; ergodic theory; theory of joinings; MINIMAL FLOWS;

D O I：

10.3934/dcds.2017125

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We rephrase the conditions from the Chowla and the Sarnak conjectures in abstract setting, that is, for sequences in {-1,0,1}N-*, and introduce several natural generalizations. We study the relationships between these properties and other notions from topological dynamics and ergodic theory.

引用

页码：2899 / 2944

页数：46

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