Sarnak's Conjecture for Irregular Flows on Infinite-dimensional Torus

被引：1
|
作者：
Liu, Qing Yang [1 ]
机构：
[1] Shandong Univ, Sch Math, Jinan 250100, Shandong, Peoples R China
来源：
ACTA MATHEMATICA SINICA-ENGLISH SERIES | 2019年 / 35卷 / 09期
关键词：
Sarnak's disjointness conjecture; Mobius function; irregular flow; skew product; infinite-dimensional torus;
D O I：
10.1007/s10114-019-8536-9
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Sarnak's Disjointness Conjecture states that the Mobius function is disjoint with any zero-entropy flow. This note establishes this conjecture, with a rate, for Furstenberg's irregular flows on the infinite-dimensional torus.
引用
收藏
页码：1541 / 1548
页数：8
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