Topological Mixing for Some Residual Sets of Interval Exchange Transformations

被引：2

作者：

Chaika, Jon ^{[1
]}

Fickenscher, Jon ^{[2
]}

机构：

[1] Univ Utah, Salt Lake City, UT 84115 USA

[2] Princeton Univ, Princeton, NJ 08544 USA

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 2015年 / 333卷 / 01期

关键词：

SYSTEMS;

D O I：

10.1007/s00220-014-2191-x

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We show that a residual set of non-degenerate IETs on more than 3 letters is topologically mixing. This shows that there exists a uniquely ergodic topologically mixing IET. This is then applied to show that some billiard flows in a fixed direction in an L-shaped polygon are topologically mixing.

引用

页码：483 / 503

页数：21

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