Gaussian dynamic systems of zero entropy with loose and non-loose Bernoullicity

被引：3

作者：

delaRue, T ^{[1
]}

机构：

[1] UNIV ROUEN,URA CNRS 1378,F-76130 MONT ST AIGNAN,FRANCE

来源：

ERGODIC THEORY AND DYNAMICAL SYSTEMS | 1996年 / 16卷

关键词：

D O I：

10.1017/S0143385700008865

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct two real Gaussian dynamical systems of zero entropy; the first one is not loosely Bernoulli, and the second is a loosely Bernoulli Gaussian-Kronecker system. To get loose-Bernoullicity for the second system, we prove and use a property of planar Brownian motion on [0, 1]: we can recover the whole trajectory knowing only some angles formed by the motion.

引用

页码：379 / 404

页数：26

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