×

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).

MSC:

37-XX Dynamical systems and ergodic theory
28D05 Measure-preserving transformations
PDF BibTeX XML Cite
Full Text: DOI

References:

[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
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.