Quelques remarques sur les facteurs des systèmes dynamiques gaussiens

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

Studia Mathematica (1997)

  • Volume: 125, Issue: 3, page 247-254
  • ISSN: 0039-3223


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.

How to cite


Iwanik, A., et al. "Quelques remarques sur les facteurs des systèmes dynamiques gaussiens." Studia Mathematica 125.3 (1997): 247-254. <http://eudml.org/doc/216436>.

author = {Iwanik, A., Lemańczyk, M., de la Rue, T., de Sam Lazaro, J.},
journal = {Studia Mathematica},
keywords = {Gaussian dynamical systems; ergodic Gaussian process; shift; factors; Gaussian automorphisms},
language = {fre},
number = {3},
pages = {247-254},
title = {Quelques remarques sur les facteurs des systèmes dynamiques gaussiens},
url = {http://eudml.org/doc/216436},
volume = {125},
year = {1997},

AU - Iwanik, A.
AU - Lemańczyk, M.
AU - de la Rue, T.
AU - de Sam Lazaro, J.
TI - Quelques remarques sur les facteurs des systèmes dynamiques gaussiens
JO - Studia Mathematica
PY - 1997
VL - 125
IS - 3
SP - 247
EP - 254
LA - fre
KW - Gaussian dynamical systems; ergodic Gaussian process; shift; factors; Gaussian automorphisms
UR - http://eudml.org/doc/216436
ER -


  1. [1] I. P. Cornfeld, S. V. Fomin and Y. G. Sinai, Ergodic Theory, Springer, 1982. 
  2. [2] M. Lemańczyk, F. Parreau and J.-P. Thouvenot, On the disjointness problem for Gaussian automorphisms, preprint. Zbl0923.28007
  3. [3] M. Lemańczyk and F. Parreau, Gaussian automorphisms whose self-joinings are Gaussian, preprint. Zbl0977.37003
  4. [4] M. Lemańczyk and J. de Sam Lazaro, Spectral analysis of certain compact factors for Gaussian dynamical systems, Israel J. Math. (1996), à paraître. Zbl0880.28013
  5. [5] L. H. Loomis, An Introduction to Abstract Harmonic Analysis, Van Nostrand, Princeton, 1953. 
  6. [6] D. Newton, On Gaussian processes with simple spectrum, Z. Wahrsch. Verw. Gebiete 5 (1966), 207-209. Zbl0142.13804
  7. [7] D. Newton and W. Parry, On a factor automorphism of a normal dynamical system, Ann. Math. Statist. 37 (1966), 1528-1533. Zbl0178.52703
  8. [8] W. Parry, Generators in Ergodic Theory, Benjamin, New York, 1969. 
  9. [9] T. de la Rue, Entropie d’un système dynamique gaussien : cas d’une action de d , C. R. Acad. Sci. Paris Sér. I 317 (1993), 191-194. 
  10. [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. Zbl0848.28009
  11. [11] J. P. Thouvenot, Utilisation des processus gaussiens en théorie ergodique, preprint. 

NotesEmbed ?


You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.


Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.