ERGODICITY OF A CLASS OF COCYCLES OVER IRRATIONAL ROTATIONS

被引：11
|
作者：
LEMANCZYK, M [1 ]
MAUDUIT, C [1 ]
机构：
[1] UNIV LYON 1,DEPT MATH,F-69622 VILLEURBANNE,FRANCE
来源：
JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES | 1994年 / 49卷
关键词：
D O I：
10.1112/jlms/49.1.124
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
It is proved that if alpha is irrational and phi is-an-element-of L2(S1) with phi(n) is-an-element-of .(1/n) then for each m is-an-element-of Z\{0} the corresponding skew product (e2piix, e2piiy) bar arrow pointing right (e2pii(x+alpha), e2pii(phi(x)+mx+y) is ergodic. The rigidity of special flows over irrational rotations with roof functions whose Fourier coefficients are in .(1/n) is also shown.
引用
收藏
页码：124 / 132
页数：9
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