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Quelques propriétés des systèmes dynamiques qui se decomposent en un produit de deux systèmes dont l’un est un schema de Bernoulli. (French) Zbl 0329.28008


MSC:

28D05 Measure-preserving transformations
60G10 Stationary stochastic processes
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References:

[1] Berg, K., Convolution of invariant measures. Maximal entropy, Math. Systems Theory, 3, 146-151 (1969) · Zbl 0179.08301
[2] Conze, J. P., Entropie d’un groupe abélien de transformations, Z. Wahrscheinlichkeits-theorie und Verw. Gebiete, 25, 11-30 (1972) · Zbl 0261.28015
[3] Katznelson, Y.; Weiss, B., Commuting measure preserving transformations, Israel J. Math., 12, 161-173 (1972) · Zbl 0239.28014
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[8] Ornstein, D. S., Some new results in the Kolmogorov-Sinai Theory of entropy and ergodic Theory, Bull. Amer. Math. Soc., 77, 878-890 (1971) · Zbl 0269.60032
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[10] Ornstein, D. S.; Shields, P. C., An uncountable family of K automorphisms, Advances in Math., 10, 63-88 (1973) · Zbl 0251.28004
[11] M. Smorodinsky,Ergodic Theory, Entropy, Lecture Notes in Mathematics, 1971, p. 214. · Zbl 0213.07502
[12] M. Smorodinsky,A partition for a Bernoulli shift that is not weak Bernoulli, Math. Systems Theory5 (1971). · Zbl 0226.60066
[13] Thouvenot, J. P., Convergence en moyenne de l’information pour l’action de Z^2, Z. Wahrscheinlichkeitstheorie und Verw. Gebiete, 24, 135-137 (1972) · Zbl 0266.60037
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