The generic transformation can be embedded in a flow

被引：24

作者：

De la Rue, T ^{[1
]}

Lazaro, JD ^{[1
]}

机构：

[1] Univ Rouen, Lab Math Raphael Salem, UMR 6085, CNRS, F-76821 Mont St Aignan, France

来源：

ANNALES DE L INSTITUT HENRI POINCARE-PROBABILITES ET STATISTIQUES | 2003年 / 39卷 / 01期

关键词：

generic automorphism; flow;

D O I：

10.1016/S0246-0203(02)00012-2

中图分类号：

O21 [概率论与数理统计]; C8 [统计学];

学科分类号：

020208 ; 070103 ; 0714 ;

摘要：

We prove in this work that the generic automorphism of a Lebesgue space can be embedded in a flow. We also show that a dyadic group action is, on the contrary, generically not embeddable in a flow. Finally, this work ends with a technical discussion establishing the equivalence between the notions of flow of automorphisms (each time being defined up to a set of measure zero), and flow of point transformations (C) 2003 Editions scientifiques et medicales Elsevier SAS.

引用

页码：121 / 134

页数：14