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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 0 ) , ( X 0 > 0 ) is generating.

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