ENTROPY PAIRS FOR A MEASURE

被引：51

作者：

BLANCHARD, F

HOST, B

MAASS, A

MARTINEZ, S

RUDOLPH, DJ

机构：

[1] LAB MATH DISCRETES,CNRS,F-13288 MARSEILLE 09,FRANCE

[2] UNIV AIX MARSEILLE 2,F-13288 MARSEILLE 09,FRANCE

[3] UNIV CHILE,DEPT INGN MATEMAT,SANTIAGO,CHILE

[4] UNIV MARYLAND,DEPT MATH,COLLEGE PK,MD 20742

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1995年 / 15卷

关键词：

D O I：

10.1017/S0143385700008579

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We define entropy pairs for an invariant measure mu on a topological dynamical system (X, T), and show they allow one to construct the maximal topological factor with entropy O for mu. Then we prove that for any mu, a mu-entropy pair is always topologically so, and the reverse is true when (X, T) is uniquely ergodic.

引用

页码：621 / 632

页数：12

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