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.

引用

页码：637 / 664

页数：28

共 28 条

[1]

AVILA A, IN PRESS ACTA MATH

[2] Exponential mixing for the Teichmuller flow [J].