Mobius Disjointness for C1+ε Skew Products

被引：4
|
作者：
de Faveri, Alexandre [1 ]
机构：
[1] CALTECH, Dept Math, 1200 E Calif Blvd, Pasadena, CA 91125 USA
来源：
INTERNATIONAL MATHEMATICS RESEARCH NOTICES | 2022年 / 2022卷 / 04期
关键词：
ERGODICITY;
D O I：
10.1093/imrn/rnaa185
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that for epsilon > 0, every C1+epsilon skew product on T-2 over a rotation of T-1 satisfies Sarnak's conjecture. This is an improvement of earlier results of Kulaga-Przymus-Lemanczyk, Huang-Wang-Ye, and Kanigowski-Lemanczyk-Radziwill.
引用
收藏
页码：2513 / 2531
页数：19
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