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Anosov flows with Gibbs measures are also Bernoullian. (English) Zbl 0304.28011

28D05 Measure-preserving transformations
37D99 Dynamical systems with hyperbolic behavior
Full Text: DOI
[1] D. V. Anosov and Y. G. Sinai,Some smooth ergodic systems, Russian Math. Surveys,22 (1967), 103–167. · Zbl 0177.42002 · doi:10.1070/RM1967v022n05ABEH001228
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[3] R. Bowen,Some systems with unique equilibrium states, to appear. · Zbl 0299.54031
[4] R. Bowen,Bernoulli equilibrium states for Axiom A diffeomorphisms, to appear. · Zbl 0304.28012
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[6] D. Ornstein,Two Bernoulli shifts with infinite entropy are isomorphic, Advances in Math.5 (1970), 339–348. · Zbl 0227.28014 · doi:10.1016/0001-8708(70)90008-3
[7] D. Ornstein,Imbedding Bernoulli shifts in flows, Contributions to ergodic theory and probability lecture notes in Math., Springer Berlin, 1970, pp. 178–218.
[8] D. Ornstein and B. Weiss,Geodesic flows are Bernoullian, Israel J. Math.14 (1973), 184–197. · Zbl 0256.58006 · doi:10.1007/BF02762673
[9] M. Ratner,Markov partitions for Anosov flows on n-dimensional manifolds, to appear. · Zbl 0269.58010
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[11] Y. G. Sinai,Gibbs measures in ergodic theory, Uspehi Mat. Nauk.27 (1972), 21–63. · Zbl 0246.28008
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