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

页码：251 / 269

页数：19

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