Standardness of automorphisms of transposition of intervals and fluxes on surfaces. (English. Russian original) Zbl 0368.58010

Math. Notes 20(1976), 826-831 (1977); translation from Mat. Zametki 20, 479-488 (1976).


37-XX Dynamical systems and ergodic theory
28D05 Measure-preserving transformations
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[1] A. B. Katok, ?Change of time, monotone equivalence and standard dynamical systems,? Dokl. Akad. Nauk SSSR,223, No. 4, 789-792 (1975). · Zbl 0326.28025
[2] A. B. Katok, ?The property of standard dynamical systems,? in: Lectures given at the IV International Conference on Information Theory, Izd. Akad. Nauk SSSR (1976), pp. 75-77.
[3] A. B. Katok, Ya. G. Sinai, and A. M. Stepin, ?The theory of dynamical systems and general transformation groups with invariant measures,? Itogi Nauki i Tekhniki, Matem. Analiz,13, 129-262 (1975).
[4] A. N. Zemlyakov and A. B. Katok, ?The topological transitivity of billiards in polygons,? Matem. Zametki,18, No. 2, 291-300 (1975). · Zbl 0315.58014
[5] A. G. Maier, ?Trajectories on orientable surfaces,? Matem. Sb.,12, No. 1, 71-84 (1943). · Zbl 0063.03856
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