Quelques remarques sur les facteurs des systèmes dynamiques gaussiens
Volume 125 / 1997
Studia Mathematica 125 (1997), 247-254
DOI: 10.4064/sm-125-3-247-254
Abstract
We study the factors of Gaussian dynamical systems which are generated by functions depending only on a finite number of coordinates. As an application, we show that for Gaussian automorphisms with simple spectrum, the partition ${(X_0 ≤ 0), (X_0 > 0)}$ is generating.