Weak Pinsker property and Markov processes

Alain Rosenthal

Annales de l'I.H.P. Probabilités et statistiques (1986)

  • Volume: 22, Issue: 3, page 347-369
  • ISSN: 0246-0203

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Rosenthal, Alain. "Weak Pinsker property and Markov processes." Annales de l'I.H.P. Probabilités et statistiques 22.3 (1986): 347-369. <http://eudml.org/doc/77284>.

@article{Rosenthal1986,
author = {Rosenthal, Alain},
journal = {Annales de l'I.H.P. Probabilités et statistiques},
keywords = {weak Pinsker property; Bernoulli; ergodic -Markov processes},
language = {eng},
number = {3},
pages = {347-369},
publisher = {Gauthier-Villars},
title = {Weak Pinsker property and Markov processes},
url = {http://eudml.org/doc/77284},
volume = {22},
year = {1986},
}

TY - JOUR
AU - Rosenthal, Alain
TI - Weak Pinsker property and Markov processes
JO - Annales de l'I.H.P. Probabilités et statistiques
PY - 1986
PB - Gauthier-Villars
VL - 22
IS - 3
SP - 347
EP - 369
LA - eng
KW - weak Pinsker property; Bernoulli; ergodic -Markov processes
UR - http://eudml.org/doc/77284
ER -

References

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  1. [1] J.P. Conze, « Entropie d'un groupe abélien de transformations ». Z. Wahrscheinlichkeitstheorie verw. Geb., t. 25, 1972, p. 11-30. Zbl0261.28015MR335754
  2. [2] N.A. Friedman, D.S. Ornstein, On isomorphism of weak Bernoulli transformations. Adv. in Math., t. 5, 1970, p. 365-394. Zbl0203.05801MR274718
  3. [3] Y. Katznelson and B. Weiss, Commuting measure preserving transformations. Isr. J. of Math., t. 12, 1972, p. 161-173. Zbl0239.28014MR316680
  4. [4] F. Ledrappier, Un champ markovien peut être d'entropie nulle et mélangeant. C. R. Acad. Sc. Paris, t. 287, 1978, p. 561-563. Zbl0387.60084MR512106
  5. [5] D.S. Ornstein, A. K-automorphism with no square root and Pinsker's conjecture. Adv. in Math., t. 10, 1973, p. 89-100. Zbl0248.28010MR330416
  6. [6] D.S. Ornstein, Ergodic theory, randomness and dynamical systems Yale Mathematical Monographs. Yale University Press, 1974. Zbl0296.28016MR447525
  7. [7] D.J. Rudolph, If a 2 point extension of a Bernoulli shift has an ergodic square then it is Bernoulli. Isr. J. of Math., t. 30, nos 1-2, 1978, p. 159-180. Zbl0415.28010MR508261
  8. [8] J.P. Thouvenot, On the stability of the weak Pinsker property. Isr. J. of Math., t. 27, n° 2, 1977, p. 150-162. Zbl0366.28007MR453982
  9. [9] J.P. Thouvenot, Quelques propriétés des systèmes dynamiques qui se décomposent en un produit de deux systèmes dont l'un est un schéma de Bernoulli. Isr. J. of Math., t. 21, nos 2-3, 1975, p. 177-207. Zbl0329.28008MR399419
  10. [10] J.P. Thouvenot, Remarques sur les systèmes dynamiques donnés avec plusieurs facteurs. Isr. J. of Math., t. 21, nos 2-3, 1975, p. 215-232. Zbl0331.28012MR399420

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