Simple systems are disjoint from Gaussian systems

Studia Mathematica

Volumn 133, Issue 3, 1999, Pages 249-256

  Del Junco, Andrés ^a   Lemańczyk, Mariusz ^b  

^a UNIVERSITY OF TORONTO   (Canada)

^b NICOLAUS COPERNICUS UNIVERSITY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001669506     PISSN: 00393223     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (10)

1. I. P. Cornfeld, S. V. Fomin and Ya. G. Sinai, Ergodic Theory, Springer, Berlin, 1982.
2. E. Glasner, B. Host and D. Rudolph, Simple systems and their higher order self-joinings, Israel J. Math. 78 (1992), 131-142.
3. A. Iwanik, M. Lemańczyk, T. de la Rue et J. de Sam Lazaro, Quelques remarques sur les facteurs des systèmes dynamiques gaussiens, Studia Math. 125 (1997), 247-254.
4. A. del Junco, M. Lemańczyk and M. K. Mentzen, Semisimplicity, joinings and group extensions, ibid. 112 (1995), 141-164.
5. A. del Junco and D. Rudolph, On ergodic actions whose self-joinings are graphs, Ergodic Theory Dynam. Systems 7 (1987), 531-557.
6. M. Lemańczyk, F. Parreau and J.-P. Thouvenot, Gaussian automorphisms whose ergodic self-joinings are Gaussian, preprint.
7. J.-P. Thouvenot, Some properties and applications of joinings in ergodic theory, in: Ergodic Theory and its Connections with Harmonic Analysis (Proc. Alexandria Conference), K. E. Petersen and I. Salama (eds.), London Math. Soc. Lecture Note Ser. 205, Cambridge Univ. Press, Cambridge, 1995, 207-235.
8. _, Utilisation des processus gaussiens en théorie ergodique, preprint.
9. _, The metrical structure of some Gaussian processes, in: Proc. Conf. on Ergodic Theory and Related Topics II (Georgenthal, 1986), Teubner Texte Math. 94, Teubner, Leipzig, 1987, 195-198.
10. W. A. Veech, A criterion for a process to be prime, Monatsh. Math. 94 (1982), 335-341.