ERGODIC AND STATISTICAL PROPERTIES OF PIECEWISE LINEAR HYPERBOLIC AUTOMORPHISMS OF THE 2-TORUS

被引：42

作者：

CHERNOV, NI ^{[1
]}

机构：

[1] DUBNA JOINT NUCL RES INST,DUBNA,USSR

来源：

JOURNAL OF STATISTICAL PHYSICS | 1992年 / 69卷 / 1-2期

关键词：

DYNAMIC SYSTEMS; HYPERBOLICITY; DECAY OF CORRELATIONS;

D O I：

10.1007/BF01053785

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study generic piecewise linear hyperbolic automorphisms of the 2-torus. We explain why the resulting dynamical system is ergodic and mixing and prove the exponential decay of correlations.

引用

页码：111 / 134

页数：24

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