Quelques remarques sur les facteurs des systèmes dynamiques gaussiens

Anzelm Iwanik; Mariusz Lemańczyk; T. de la Rue; J. de Sam Lazaro

ArticleOriginal scientific text

Title

Quelques remarques sur les facteurs des systèmes dynamiques gaussiens

Authors ¹, ², ³, ³

Affiliations

Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Pologne
Department of Mathematics and Computer Science, Nicolas Copernicus University, Chopina 12/18, 87-100 Toruń, Pologne
Analyse et Modèles Stochastiques, URA CNRS 1378, Université de Rouen, 76821 Mont-Saint-Aignan Cedex, France

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} \leq 0), (X_{0} > 0)}

is generating.

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Title

Quelques remarques sur les facteurs des systèmes dynamiques gaussiens

Affiliations

Abstract

Bibliography