Disjointness in ergodic theory, minimal sets, and a problem in diophantine approximation

Theory of Computing Systems - Tập 1 - Trang 1-49 - 1967
Harry Furstenberg1
1The Hebrew University, Jerusalem, Israel

Tài liệu tham khảo

Adler, R. L., Konheim, A. G. andMcAndrew, M. H., Topological entropy,Trans. Amer. Math. Soc. 114 (1965), 309–319. Ellis, R., Distal transformation groups,Pacific J. Math. 8 (1958), 401–405. Furstenberg, H.,Stationary Processes and Prediction Theory Princeton Univ. Press, Princeton, 1960. Furstenberg, H., Strict ergodicity and transformations of the torus,Amer. J. Math. 83 (1961), 573–601. Furstenberg, H., The structure of distal flows,Amer. J. Math. 85 (1963), 477–515. Gottschalk, W. H., andHedlund, G. A.,Topological Dynamics, Amer. Math. Soc. Colloq. Publ., Vol. 83, 1961. Gottschalk, W. H., An irreversible minimal set, inErgodic Theory Academic Press, New York, 1963. Halmos, P. R., On automorphisms of compact groups,Bull. Amer. Math. Soc. 49 (1943), 619–624. Halmos, P. R.,Lectures on Ergodic Theory Publ. Math. Soc. Japan, Tokyo, 1956. Halmos, P. R.,Entropy in Ergodic Theory Univ. Chicago Press, Chicago, 1959. Niven, I., andZuckerman, H. S., On the definition of normal number,Pacific J. Math. 1 (1951), 103–109. Robbins, H. E., On a class of recurrent sequences,Bull. Amer. Math. Soc. 43 (1937), 413–417. Rokhlin, V. A., New progress in the theory of transformations with invariant measure,Russian Math. Surveys 15 (1960), 1–22. Wu, T. S., On homomorphisms in topological dynamics, (to appear).