Le théorème d'isomorphisme d'Ornstein et la classification des systèmes dynamiques en théorie ergodique

Jean-Pierre Conze

Séminaire Bourbaki (1972-1973)

  • Volume: 15, page 50-68
  • ISSN: 0303-1179

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Conze, Jean-Pierre. "Le théorème d'isomorphisme d'Ornstein et la classification des systèmes dynamiques en théorie ergodique." Séminaire Bourbaki 15 (1972-1973): 50-68. <http://eudml.org/doc/109839>.

@article{Conze1972-1973,
author = {Conze, Jean-Pierre},
journal = {Séminaire Bourbaki},
language = {fre},
pages = {50-68},
publisher = {Springer-Verlag},
title = {Le théorème d'isomorphisme d'Ornstein et la classification des systèmes dynamiques en théorie ergodique},
url = {http://eudml.org/doc/109839},
volume = {15},
year = {1972-1973},
}

TY - JOUR
AU - Conze, Jean-Pierre
TI - Le théorème d'isomorphisme d'Ornstein et la classification des systèmes dynamiques en théorie ergodique
JO - Séminaire Bourbaki
PY - 1972-1973
PB - Springer-Verlag
VL - 15
SP - 50
EP - 68
LA - fre
UR - http://eudml.org/doc/109839
ER -

References

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  1. [1] R. Azencott - Difféomorphismes d'Anosov et Schémas de Bernoulli, C. R. Acad. Sci.270, 1970. Zbl0214.15902MR259067
  2. [2] N.A. Friedman, D.S. Ornstein - On isomorphism of weak Bernoulli transformations, Advances in Math.5, 3 (1970), p. 365-394. Zbl0203.05801MR274718
  3. [3] Y. Katznelson - Ergodic automorphisms of Tn are Bernoulli shifts, à paraître. Zbl0219.28014
  4. [4] D.S. Ornstein - Bernoulli shifts with the same entropy are isomorphic, Advances in Math.4, 3 (1970), p. 337-352. Zbl0197.33502MR257322
  5. [5] D.S. Ornstein - Bernoulli shifts with infinite entropy are isomorphic, Advances in Math.5, 3 (1970), p. 339-348. Zbl0227.28014MR274716
  6. [6] D.S. Ornstein - Factors of Bernoulli shifts are Bernoulli shifts, Advances in Math.5, 3 (1970), p. 349-364. Zbl0227.28015MR274717
  7. [7] D.S. Ornstein - Imbedding Bernoulli shifts in flows, Midwest Conference, Ergodic Theory and Probability, Lecture Notes in Maths.160, p. 178-218, Springer-Verlag. Zbl0227.28013MR272985
  8. [8] D.S. Ornstein - A K-automorphism with no square root and Pinsker's conjecture, à paraître (1971). Zbl0248.28010
  9. [9] D.S. Ornstein - An application of Ergodic Theory to Probability Theory, à paraître(1972). Zbl0282.28009MR348831
  10. [10] D.S. Ornstein, P.C. Shields - An uncountable family of K-automorphisms, à paraître (1972). Zbl0251.28004MR382598
  11. [11] D. Ruelle - Statistical Mechanics of a one dimensional lattice gas, Comm. Math. Phys.9, (1968), p. 267-278. Zbl0165.29102MR234697
  12. [12] Ya.G. Sinaï - A weak isomorphism of transformations with an invariant measureDokl. Ak. Nauk, 147 (1962), p. 797-800. Zbl0205.13501MR161960
  13. [13] Ya.G. Sinaï - Dynamical systems with elastic reflections, Usp. Mat. Nauk, (= Russian Math. Surveys), 25, 6 (1970). Zbl0263.58011
  14. [14] M. Smorodinsky - Ergodic theory, Entropy, Lecture Notes in Maths.214, 1971, Springer-Verlag. Zbl0213.07502MR422582

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