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.
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页码：483 / 503
页数：21
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