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Systèmes dynamiques gaussiens d'entropie nulle, lâchement et non lâchement Bernoulli

Published online by Cambridge University Press:  19 September 2008

Thierry De La Rue
Thierry De La Rue
Affiliation:
Analyse et Modèles Stochastiques, URA-CNRS 1378, Université de Rouen 76130 Mont-Saint-Aignan, France
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Abstract

We construct two real Gaussian dynamical systems of zero entropy; the first one is not loosely Bernoulli, and the second is a loosely Bernoulli Gaussian-Kronecker system. To get loose-Bernoullicity for the second system, we prove and use a property of planar Brownian motion on [0, 1]: we can recover the whole trajectory knowing only some angles formed by the motion.

Type
Research Article
Information
Ergodic Theory and Dynamical Systems , Volume 16 , Issue 2 , April 1996 , pp. 379 - 404
Copyright
Copyright © Cambridge University Press 1996

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References

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