ERGODIC PROPERTIES OF THE DISCONTINUOUS SAWTOOTH MAP

被引：21
|
作者：
VAIENTI, S [1 ]
机构：
[1] UNIV SO CALIF,DEPT MATH,LOS ANGELES,CA 90089
来源：
JOURNAL OF STATISTICAL PHYSICS | 1992年 / 67卷 / 1-2期
关键词：
ERGODICITY; STABLE AND UNSTABLE MANIFOLDS; SINAI-CHERNOV THEORY; HOPFS CHAIN;
D O I：
10.1007/BF01049033
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove the ergodicity for the discontinuous sawtooth map, adapting a technique previously used in billiard theory. The core of the proof is the construction of a Hopf chain passing through a countable dense set of discontinuity lines.
引用
收藏
页码：251 / 269
页数：19
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