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References
Billingsley, P.: Ergodic theory and information. New York: Wiley 1965.
Blackwell, D., Freedman, D.: The tail σ-field of a Markov chain and a theorem of Orey. Ann. math. Statistics35, 1291–1295 (1964).
Chung, K. L., Doob, J. L.: Fields, optionality, and measurability. Amer. J. Math.87, 397–424 (1965).
Hewitt, E., Savage, L. J.: Symmetric measures on cartesian products. Trans. Amer. math. Soc.80, 470–501 (1955).
Kolmogorov, A. N.: Entropy per unit time as a metric invariant of automorphisms. Doklady Akad. Nauk SSSR124, 754–755 (1959) [Russian].
Krengel, U., Sucheston, L.: Note on shift-invariant sets. Ann. math. Statistics40, 694–696 (1969).
Meyer, P. A.: Probability and potentials. Waltham, Mass.: Blaisdell 1966.
Purves, R.: On bimeasurable functions. Fundamenta Math.58, 149–157 (1966).
Rohlin, V.A., Sinai, Ya. G.: Construction and properties of invariant measurable partitions. Soviet Math. Doklady2, 1611–1614 (1961).
Rosenblatt, M.: Remarks on ergodicity of stationary irreducible transient Markov chains. Z. Wahrscheinlichkeitstheorie verw. Geb.6, 293–301 (1966).
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This research was supported in part by National Science Foundation Grant GP-15909 and in part by U.S. Army Research Office Grant DA-ARO(D)-31-124-G1077 at Stanford University.
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Olshen, R.A. The coincidence of measure algebras under an exchangeable probability. Z. Wahrscheinlichkeitstheorie verw Gebiete 18, 153–158 (1971). https://doi.org/10.1007/BF00569185
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DOI: https://doi.org/10.1007/BF00569185