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Bibliographie
Abramov, L. M.: On the entropy of a flow. Dokl. Akad. Nank. SSSR. 128, 873–876 (1959); Amer. Math. Soc. Transl. 2, 49, 167/2-170 (1966)
Adler, R. L., Konheim, A. G., McAndrew, M. H.: Topological entropy. Trans. Amer. Math. Soc. 114, 309–319 (1965)
Azencott, R.: Diffeomorphismes d'Anosov et schémas de Bernoulli. C.R. Acad. Sci. Paris Séries A.B 270, A1105-A1107 (1970)
Billingsley, P.: Ergodic theory and information. New York: Wiley 1965
Bowen, R.: Some systems with unique equilibrium states, preprint
Bowen, R.: Bernoulli equilibrium states for Axiom A diffeomorphisms, preprint
Föllmer, H.: On entropy and Information Gain in Random Fields. Z. Wahrscheinlichkeitstheorie verw. Gebiete 26, 207–217 (1973)
Friedman, N., Ornstein, D.: An isomorphism of weak Bernoulli transformations, Advances in Maths. 5, 365–394 (1971)
Gallavotti, G.: Ising model and Bernoulli schemes in one dimension. Commun. Math. Phys. 32, 183–190 (1973)
Keane, M.: Sur les mesures invariantes d'un recouvrement régulier. C.R. Acad. Sci. Paris 272, A585-A587 (1971)
Lanford, O. III, Ruelle, D.: Observables at infinity and states with short range correlations in statistical mechanics. Commun. Math. Phys. 13, 194–215 (1969)
Ledrappier, F.: Mesures d'équilibre sur un réseau. Commun. Math. Phys. 33, 119–128 (1973)
Ornstein, D.: Imbedding Bernoulli shifts in flows. Contributions to ergodic theory and probability. Lecture notes in Math. 160, pp. 178–218, Berlin-Heidelberg-New York: Springer 1970
Ornstein, D., Shield, P.C.: An uncountable family of K-automorphisms. Advances in Maths. 10, 63–88 (1973)
Parry, W.: Intrinsic Markov Chains. Trans. Amer. Math. Soc. 112, 55–66 (1964)
Parry, W.: Symbolic dynamic and transformations of the unit interval. Trans. Amer. Math. Soc. 122, 368–378 (1966)
Ratner, M.: Anosov flows with Gibbs measures are also Bernoullian (preprint)
Rohlin, V.A.: Lectures on the entropy theory of measure preserving transformations. Russian Maths. Surveys 22, nℴ 5, 1–52 (1968)
Ruelle, D.: Statistical mechanics of a one-dimensional lattice gas. Commun. Math. Phys. 9, 267–278(1968)
Ruelle, D.: Statistical mechanics. Rigourous results. New York: Benjamin 1969
Ruelle, D.: A measure associated with axiom A attractors, preprint
SinaÏ, Ia.G.: Markov partitions and diffeomorphisms Funlats. Analiz. Pril. 2, nℴ 1 64–89 (1968); Fuct. Anal. Appl. 2, 61–82 (1968)
SinaÏ, Ia.G.: Mesures invariantes des Y-systèmes. Actes congrès internat, des Maths. Nice 2, 929–940 (1960)
SinaÏ, Ia.G.: Gibbs-measures in ergodic theory. Uspeki Mat. Nauk. 27, 21–63 (1972)
Thouvenot, J. P.: Quelques propriétés des systèmes dynamiques qui se décomposent en un produit de deux systèmes dont l'un est un schéma de Bernoulli (preprint)
Thouvenot, J P.: Une propriété des K-systèmes construits par D. Ornstein et P. C. Shields, preprint
Walters, P.: A variational principle for the pressure of continuous transformations, preprint
Weiss, B.: Intrinsically ergodic systems. Bull. Amer. Math. Soc. 76, nℴ 6 (1970)
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Equipe de Recherche nℴ 1 ≪ Processus stochastiques et applications≫ dépendant de la Section nℴ 1 ≪Mathématiques, Informatique≫ associée au C.N.R.S.
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Ledrappier, F. Principe variationnel et systèmes dynamiques symboliques. Z. Wahrscheinlichkeitstheorie verw Gebiete 30, 185–202 (1974). https://doi.org/10.1007/BF00533471
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DOI: https://doi.org/10.1007/BF00533471