Bernoulli shifts with the same entropy are isomorphic. (English) Zbl 0197.33502

Full Text: DOI


[1] Billingsley, P, Ergodic theory and information, (1965), Wiley New York · Zbl 0141.16702
[2] Halmos, P, Recent progress in ergodic theory, Bull. amer. math. soc., 67, 70-80, (1961) · Zbl 0161.11401
[3] Halmos, P; Vaughn, H, The marriage problem, Amer. J. math., 72, 214-215, (1950) · Zbl 0034.29601
[4] Kolmogorov, A.N, A new metric invariant of transitive dynamic systems and automorphisms in Lebesgue spaces, Dokl. akad. nauk SSSR, 119, 861-864, (1958) · Zbl 0083.10602
[5] Kolmogorov, A.N, On the entropy per unit time as a metric invariant of automorphisms, Dokl. akad. nauk SSSR, 124, 754-755, (1959) · Zbl 0086.10101
[6] Mesalkin, L.D, A case of isomorphisms of Bernoulli scheme, Dokl. akad. nauk SSSR, 128, 41-44, (1959) · Zbl 0099.12301
[7] Sinai, I.G, A weak isomorphism of transformations with an invariant measure, Dokl. akad. nauk SSSR, Soviet math. dokl., 3, 1725-1729, (1962) · Zbl 0205.13501
[8] Halmos, P, Lectures in ergodic theory, (1956), Chelsea Pub. Co New York · Zbl 0073.09302
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.