Slow entropy type invariants and smooth realization of commuting measure-preserving transformations

Annales de l'institut Henri Poincare (B) Probability and Statistics

Volumn 33, Issue 3, 1997, Pages 323-338

  Katok, Anatole ^a   Thouvenot, Jean Paul ^b  

^a PENNSYLVANIA STATE UNIVERSITY   (United States)

^b University of Paris VII LPSM partially supported by ERC Starting Grant 680275 MALIG   (France)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031498135     PISSN: 02460203     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0246-0203(97)80094-5     Document Type: Article

References (10)

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5. [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.
6. [6] A. G. KUSHNIRENKO, An upper bound of the entropy of classical dynamical systems, Sov. Math. Dokl., Vol. 6, 1965, pp. 360-362.
7. [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.
8. [8] D. ORNSTEIN and B. WEISS, Isomorphism theorem for amenable group actions, J. Anal. Math., Vol. 48, 1987, p. 1-141.
9. [9] Ya. B. PESIN, Characteristic Lyapunov exponents and smooth ergodic theory, Russian Math. Surveys, Vol. 32, 1977, pp. 55-114.
10. [10] D. RUELLE, An inequality for the entropy of differentiable maps, Bol. Soc. Brasil. Math., Vol. 9, 1978, pp. 83-87.