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ArticleOriginal scientific text

Title

Les systèmes simples sont disjoints de ceux qui sont infiniment divisibles et plongeables dans un flot

Authors 1

Affiliations

  1. Laboratoire de Probabilité, Université Paris VI, Tour 56, 4, Place Jussieu, 75 230 Paris Cedex 05, France

Abstract

We prove that simple transformations are disjoint from those which are infinitely divisible and embeddable in a flow. This is a reinforcement of a previous result of A. del Junco and M. Lemańczyk [1] who showed that simple transformations are disjoint from Gaussian processes.

Bibliography

  1. A. del Junco and M. Lemańczyk, Simple systems are disjoint from Gaussian systems, Studia Math. 133 (1999), 249-256.
  2. A. Junco and D. Rudolph, On ergodic actions whose self-joinings are graphs, Ergodic Theory Dynam. Systems 7 (1987), 531-557.
  3. E. Glasner, B. Host and D. Rudolph, Simple systems and their higher order self-joinings, Israel J. Math. 78 (1992), 131-142.
  4. J. King and J.-P. Thouvenot, A canonical structure theorem for finite joining rank maps, J. Anal. Math. 56 (1991), 211-230.
  5. 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.
Colloquium Mathematicum
2000/84/85/2
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Pages:
481-483
Main language of publication
French
Received
1999-09-22
Published
2000
Exact and natural sciences