Poisson suspensions and infinite ergodic theory

被引：31
|
作者：
Roy, Emmanuel [1 ]
机构：
[1] Univ Paris 13, Lab Anal Geometrie & Applicat, UMR 7539, F-93430 Villetaneuse, France
来源：
ERGODIC THEORY AND DYNAMICAL SYSTEMS | 2009年 / 29卷
关键词：
TRANSFORMATIONS; AUTOMORPHISMS;
D O I：
10.1017/S0143385708080279
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We investigate the ergodic theory of Poisson suspensions. In the process, we establish close connections between finite and infinite measure-preserving ergodic theory. Poisson suspensions thus provide a new approach to infinite-measure ergodic theory. Fields investigated here are mixing properties, spectral theory, joinings. We also compare Poisson suspensions to the apparently similar looking Gaussian dynamical systems.
引用
收藏
页码：667 / 683
页数：17
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