Weak mixing for interval exchange transformations and translation flows

被引：117
作者：
Avila, Artur [1 ]
Forni, Giovanni
机构：
[1] Univ Paris 06, CNRS, UMR 7599, Paris, France
[2] Univ Paris 11, Orsay, France
[3] Northwestern Univ, Evanston, IL USA
来源：
ANNALS OF MATHEMATICS | 2007年 / 165卷 / 02期
关键词：
D O I：
10.4007/annals.2007.165.637
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that a typical interval exchange transformation is either weakly mixing or it is an irrational rotation. We also conclude that a typical translation flow on a typical translation surface of genus g >= 2 (with prescribed singularity types) is weakly mixing.
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页码：637 / 664
页数：28
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