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Disjointness in ergodic theory, minimal sets, and a problem in Diophantine approximation. (English) Zbl 0146.28502

Full Text: DOI
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[2] Ellis, R., Distal transformation groups,Pacific J. Math. 8 (1958), 401--405. · Zbl 0092.39702
[3] Furstenberg, H.,Stationary Processes and Prediction Theory Princeton Univ. Press, Princeton, 1960. · Zbl 0178.53002
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[7] Gottschalk, W. H., An irreversible minimal set, inErgodic Theory Academic Press, New York, 1963. · Zbl 0147.41802
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[9] Halmos, P. R.,Lectures on Ergodic Theory Publ. Math. Soc. Japan, Tokyo, 1956. · Zbl 0073.09302
[10] Halmos, P. R.,Entropy in Ergodic Theory Univ. Chicago Press, Chicago, 1959.
[11] Niven, I., andZuckerman, H. S., On the definition of normal number,Pacific J. Math. 1 (1951), 103--109. · Zbl 0042.26902
[12] Robbins, H. E., On a class of recurrent sequences,Bull. Amer. Math. Soc. 43 (1937), 413--417. · Zbl 0016.37901 · doi:10.1090/S0002-9904-1937-06568-2
[13] Rokhlin, V. A., New progress in the theory of transformations with invariant measure,Russian Math. Surveys 15 (1960), 1--22. · Zbl 0102.33001 · doi:10.1070/RM1960v015n04ABEH004095
[14] Wu, T. S., On homomorphisms in topological dynamics, (to appear). · Zbl 0183.51504