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Quelques remarques sur les facteurs des systèmes dynamiques gaussiens

A. Iwanik; M. Lemańczyk; T. de la Rue; J. de Sam Lazaro — 1997

Studia Mathematica

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 $(X_{0} \leq 0), (X_{0} > 0)$ is generating.

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