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

Jean-Paul Thouvenot

Colloquium Mathematicae (2000)

  • Volume: 84/85, Issue: 2, page 481-483
  • ISSN: 0010-1354

Abstract

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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.

How to cite

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Thouvenot, Jean-Paul. "Les systèmes simples sont disjoints de ceux qui sont infiniment divisibles et plongeables dans un flot." Colloquium Mathematicae 84/85.2 (2000): 481-483. <http://eudml.org/doc/210827>.

@article{Thouvenot2000,
author = {Thouvenot, Jean-Paul},
journal = {Colloquium Mathematicae},
keywords = {simple transformations; Gaussian processes},
language = {fre},
number = {2},
pages = {481-483},
title = {Les systèmes simples sont disjoints de ceux qui sont infiniment divisibles et plongeables dans un flot},
url = {http://eudml.org/doc/210827},
volume = {84/85},
year = {2000},
}

TY - JOUR
AU - Thouvenot, Jean-Paul
TI - Les systèmes simples sont disjoints de ceux qui sont infiniment divisibles et plongeables dans un flot
JO - Colloquium Mathematicae
PY - 2000
VL - 84/85
IS - 2
SP - 481
EP - 483
LA - fre
KW - simple transformations; Gaussian processes
UR - http://eudml.org/doc/210827
ER -

References

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  1. [1] A. del Junco and M. Lemańczyk, Simple systems are disjoint from Gaussian systems, Studia Math. 133 (1999), 249-256. Zbl0931.37001
  2. [2] A. Junco and D. Rudolph, On ergodic actions whose self-joinings are graphs, Ergodic Theory Dynam. Systems 7 (1987), 531-557. Zbl0646.60010
  3. [3] E. Glasner, B. Host and D. Rudolph, Simple systems and their higher order self-joinings, Israel J. Math. 78 (1992), 131-142. Zbl0779.28010
  4. [4] J. King and J.-P. Thouvenot, A canonical structure theorem for finite joining rank maps, J. Anal. Math. 56 (1991), 211-230. Zbl0735.28010
  5. [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. Zbl0848.28009

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