Czasopismo
Tytuł artykułu
Warianty tytułu
Języki publikacji
Abstrakty
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.
Słowa kluczowe
Kategorie tematyczne
Czasopismo
Rocznik
Tom
Numer
Strony
247-254
Opis fizyczny
Daty
wydano
1997
otrzymano
1996-06-12
poprawiono
1996-07-01
Twórcy
autor
- Institute of Mathematics, Technical University of Wrocław, Wybrzeże Wyspiańskiego 27, 50-370 Wrocław, Pologne
autor
- Department of Mathematics and Computer Science, Nicolas Copernicus University, Chopina 12/18, 87-100 Toruń, Pologne
autor
- Analyse et Modèles Stochastiques, URA CNRS 1378, Université de Rouen, 76821 Mont-Saint-Aignan Cedex, France
autor
- Analyse et Modèles Stochastiques, URA CNRS 1378, Université de Rouen, 76821 Mont-Saint-Aignan Cedex, France
Bibliografia
- [1] I. P. Cornfeld, S. V. Fomin and Y. G. Sinai, Ergodic Theory, Springer, 1982.
- [2] M. Lemańczyk, F. Parreau and J.-P. Thouvenot, On the disjointness problem for Gaussian automorphisms, preprint.
- [3] M. Lemańczyk and F. Parreau, Gaussian automorphisms whose self-joinings are Gaussian, preprint.
- [4] M. Lemańczyk and J. de Sam Lazaro, Spectral analysis of certain compact factors for Gaussian dynamical systems, Israel J. Math. (1996), à paraître.
- [5] L. H. Loomis, An Introduction to Abstract Harmonic Analysis, Van Nostrand, Princeton, 1953.
- [6] D. Newton, On Gaussian processes with simple spectrum, Z. Wahrsch. Verw. Gebiete 5 (1966), 207-209.
- [7] D. Newton and W. Parry, On a factor automorphism of a normal dynamical system, Ann. Math. Statist. 37 (1966), 1528-1533.
- [8] W. Parry, Generators in Ergodic Theory, Benjamin, New York, 1969.
- [9] T. de la Rue, Entropie d'un système dynamique gaussien : cas d'une action de $ℤ^d$, C. R. Acad. Sci. Paris Sér. I 317 (1993), 191-194.
- [10] J. P. Thouvenot, Some properties and applications of joinings in ergodic theory, in: Ergodic Theory and its Connections with Harmonic Analysis, London Math. Soc. Lecture Note Ser. 205, Cambridge Univ. Press, 1995, 207-235.
- [11] J. P. Thouvenot, Utilisation des processus gaussiens en théorie ergodique, preprint.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
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