Absolutely continuous invariant probability measures for arbitrary expanding piecewise R-analytic mappings of the plane

被引：38

作者：

Buzzi, J ^{[1
]}

机构：

[1] Ecole Polytech, Ctr Math, F-91128 Palaiseau, France

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2000年 / 20卷

关键词：

D O I：

10.1017/S0143385700000377

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove that any expanding piecewise real-analytic map of a bounded region of the plane admits absolutely continuous invariant probability measures.

引用

页码：697 / 708

页数：12

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