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Uspekhi Mat. Nauk, 1967, Volume 22, Issue 5(137), Pages 3–56 (Mi umn5788)  

This article is cited in 120 scientific papers (total in 120 papers)

Lectures on the entropy theory of measure-preserving transformations

V. A. Rokhlin

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English version:
Russian Mathematical Surveys, 1967, 22:5, 1–52

Bibliographic databases:

UDC: 519.9
MSC: 37A05, 28D05, 37A35, 28D20, 37A25
Received: 14.11.1966

Citation: V. A. Rokhlin, “Lectures on the entropy theory of measure-preserving transformations”, Uspekhi Mat. Nauk, 22:5(137) (1967), 3–56; Russian Math. Surveys, 22:5 (1967), 1–52

Citation in format AMSBIB
\by V.~A.~Rokhlin
\paper Lectures on the entropy theory of measure-preserving transformations
\jour Uspekhi Mat. Nauk
\yr 1967
\vol 22
\issue 5(137)
\pages 3--56
\jour Russian Math. Surveys
\yr 1967
\vol 22
\issue 5
\pages 1--52

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    1. Gaboriau D. Seward B., “Cost, l(2)-Betti Numbers and the Sofic Entropy of Some Algebraic Actions”, J. Anal. Math.  crossref  isi
    2. A. G. Kushnirenko, “On metric invariants of entropy type”, Russian Math. Surveys, 22:5 (1967), 53–61  mathnet  crossref  mathscinet  zmath
    3. A. B. Katok, A. M. Stepin, “Metric properties of measure preserving homeomorphisms”, Russian Math. Surveys, 25:2 (1970), 191–220  mathnet  crossref  mathscinet  zmath
    4. G. A. Margulis, “Certain measures associated with $U$-flows on compact manifolds”, Funct. Anal. Appl., 4:1 (1970), 55–67  mathnet  crossref  mathscinet  zmath
    5. E. I. Dinaburg, “On the relations among various entropy characteristics of dynamical systems”, Math. USSR-Izv., 5:2 (1971), 337–378  mathnet  crossref  mathscinet  zmath
    6. A. M. Vershik, “Continuum of pairwise nonisomorphic diadic sequences”, Funct. Anal. Appl., 5:3 (1971), 182–184  mathnet  crossref  mathscinet  zmath
    7. K. L. Volkovysskii, Ya. G. Sinai, “Ergodic properties of an ideal gas with an infinite number of degrees of freedom”, Funct. Anal. Appl., 5:3 (1971), 185–187  mathnet  crossref  mathscinet  zmath
    8. A. M. Stepin, “On entropy invariants of decreasing sequences of measurable partitions”, Funct. Anal. Appl., 5:3 (1971), 237–240  mathnet  crossref  mathscinet  zmath
    9. V. G. Sharapov, “Markov endomorphisms of Lebesgue space”, Funct. Anal. Appl., 5:3 (1971), 246–249  mathnet  crossref  mathscinet  zmath
    10. T. Schwartzbauer, “Approximation of measure-preserving transformations”, Math Systems Theory, 6:3 (1972), 312  crossref  mathscinet
    11. W. K. Hayman, S. M. Rudolfer, “On the relation between some metric invariants for Markov shifts”, Periodica Mathematica Hungarica Journal of the J anos Bolyai Mathematical Society, 2:1-4 (1972), 133  crossref  mathscinet  zmath
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    14. Ernst Eberlein, “Einbettung von Strömungen in FunktionenrÄume durch Erzeuger vom endlichen Typ”, Z Wahrscheinlichkeitstheorie verw Gebiete, 27:4 (1973), 277  crossref  mathscinet  zmath
    15. A. B. Katok, “Ergodic perturbations of degenerate integrable Hamiltonian systems”, Math. USSR-Izv., 7:3 (1973), 535–571  mathnet  crossref  mathscinet  zmath
    16. B. A. Rubshtein, “O posledovatelnostyakh izmerimykh razbienii, porozhdennykh endomorfizmami prostranstva Lebega”, UMN, 28:1(169) (1973), 247–248  mathnet  mathscinet  zmath
    17. Michael D Weiss, “Topological entropy of Chebyshev polynomials and related real mappings”, Journal of Mathematical Analysis and Applications, 43:3 (1973), 816  crossref
    18. Ernst Eberlein, “A generator theorem for flows”, Bol Soc Bras Mat, 5:1 (1974), 45  crossref  mathscinet  zmath
    19. FranÇois Ledrappier, “Principe variationnel et systèmes dynamiques symboliques”, Z Wahrscheinlichkeitstheorie verw Gebiete, 30:3 (1974), 185  crossref  mathscinet  zmath
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    23. L. A. Bunimovich, “On billiards close to dispersing”, Math. USSR-Sb., 23:1 (1974), 45–67  mathnet  crossref  mathscinet  zmath
    24. Yu. I. Kifer, “On small random perturbations of some smooth dynamical systems”, Math. USSR-Izv., 8:5 (1974), 1083–1107  mathnet  crossref  mathscinet
    25. D. S. Ornshtein, “Primeneniya ergodicheskoi teorii k teorii veroyatnostei”, UMN, 30:3(183) (1975), 125–146  mathnet  mathscinet  zmath
    26. T. V. Volkova, “O maksimalnykh kommutativnykh regulyarnykh podalgebrakh v faktore tipa II$_1$”, UMN, 30:6(186) (1975), 163–164  mathnet  mathscinet  zmath
    27. Alan Saleski, “A note on a differentiation type property of the entropy of an automorphism”, Advances in Mathematics, 15:2 (1975), 157  crossref
    28. M. Casartelli, L. Galgani, A. Scotti, “Numerical computations on a stochastic parameter related to the Kolmogorov entropy”, Phys Rev A, 13:5 (1976), 1921  crossref  adsnasa
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    30. A. B. Katok, “Monotone equivalence in ergodic theory”, Math. USSR-Izv., 11:1 (1977), 99–146  mathnet  crossref  mathscinet  zmath  isi
    31. Ya. B. Pesin, “Geodesic flows on closed Riemannian manifolds without focal points”, Math. USSR-Izv., 11:6 (1977), 1195–1228  mathnet  crossref  mathscinet  zmath
    32. B. M. Gurevich, “Perfect partitions for ergodic flows”, Funct. Anal. Appl., 11:3 (1977), 179–182  mathnet  crossref  mathscinet  zmath
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    35. J F C van Velsen, J Phys A Math Gen, 14:7 (1981), 1621  crossref  mathscinet  zmath  adsnasa  isi
    36. John C. Kieffer, “A direct proof that vwb processes are closed in the
      $$\bar d$$
      -metric”, Isr J Math, 41:1-2 (1982), 154  crossref  mathscinet  zmath  isi
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