Slow entropy type invariants and smooth realization of commuting measure-preserving transformations
Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 3, pp. 323-338.
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     title = {Slow entropy type invariants and smooth realization of commuting measure-preserving transformations},
     journal = {Annales de l'I.H.P. Probabilit\'es et statistiques},
     pages = {323--338},
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     url = {http://www.numdam.org/item/AIHPB_1997__33_3_323_0/}
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Katok, Anatole; Thouvenot, Jean-Paul. Slow entropy type invariants and smooth realization of commuting measure-preserving transformations. Annales de l'I.H.P. Probabilités et statistiques, Tome 33 (1997) no. 3, pp. 323-338. http://www.numdam.org/item/AIHPB_1997__33_3_323_0/

[1] A. Katok, Monotone equivalence in ergodic theory, Math. USSR, Izvestija, Vol. 11, 1977, pp. 99-146. | MR | Zbl

[2] A. Katok, Lyapunov exponents, entropy and periodic orbits for diffeomorphisms, Publ. Math IHES, Vol 51, 1980, pp. 137-173. | Numdam | MR | Zbl

[3] A. Katok, Constructions in ergodic theory, preprint.

[4] A. Kakot and B. Hasselblatt, Introduction to the modern theory of dynamical systems, Cambridge University Press, New York, 1995. | MR | Zbl

[5] S. Katok, An estimate from above for the topological entropy of a diffeomorphism, Global theory of Dynamical systems, Lecture Note Math., Vol. 819, Springer Verlag, 1980, pp. 258-266. | MR | Zbl

[6] A.G. Kushnirenko, An upper bound of the entropy of classical dynamical systems, Sov. Math. Dokl., Vol. 6, 1965, pp. 360-362. | Zbl

[7] D. Lind and J.-P. Thouvenot, Measure-preserving homeomorphisms of the torus represent all finite entropy ergodic transformations, Math. Systems Theory, Vol. 11, 1977, pp. 275-285. | MR | Zbl

[8] D. Ornstein and B. Weiss, Isomorphism theorem for amenable group actions, J. Anal. Math., Vol. 48, 1987, p. 1-141. | MR | Zbl

[9] Ya.B. Pesin, Characteristic Lyapunov exponents and smooth ergodic theory, Russian Math. Surveys, Vol. 32, 1977, pp. 55-114. | MR | Zbl

[10] D. Ruelle, An inequality for the entropy of differentiable maps, Bol. Soc. Brasil. Math., Vol. 9, 1978, pp. 83-87. | MR | Zbl