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Bulletin of the American Mathematical Society
Bulletin of the American Mathematical Society
ISSN 1088-9485(e) ISSN 0273-0979(p)

     

The metric entropy of diffeomorphisms

Author(s): F. Ledrappier; L.-S. Young
Journal: Bull. Amer. Math. Soc. 11 (1984), 343-346.
MSC (1980): Primary 58F15
MathSciNet review: 752794
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References | Similar articles | Additional information

References:

[FKYY] P. Frederickson, J. Kaplan, E. Yorke and J. Yorke, The Lyapunov dimension of strange attactors (to appear).

[L] F. Ledrappier, Propriétés ergodiques des mesures de Sinai (preprint). MR 743818

[LS] F. Ledrappier and J. M. Strelyn, A proof of the estimation from below in Pesin entropy formula, Ergodic Theory Dynamical Systems (to appear).

[O] Y. I. Oseledec, A multiplicative ergodic theorem, Lyapunov characteristic numbers for dynamical systems, Trudy Moskov. Mat. Obsc. 19 (1968), 179-210. MR 240280

[P] J. Pesin, Characteristic Ljapunov exponents and smooth ergodic theory, Uspekhi. Mat. Nauk 32 (1977), no. 4 (196), 55-112, 287. (Russian) MR 466791

[Ro] V. A. Rohlin, On the fundamental ideas of measure theory, Amer. Math. Soc. Transl. (2) 10 (1962), pp. 1-54. MR 47744

[Ru] D. Ruelle, Ergodic theory of differentiable dynamical systems, Inst. Hautes Études Sci. Publ. Math. 50 (1979), 27-58. MR 556581

[Y] L.-S. Young, Dimension, entropy and Lyapunov exponents, Ergodic Theory Dynamical Systems 2 (1982), 109-124. MR 684248


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Additional Information:

DOI: 10.1090/S0273-0979-1984-15299-6
PII: S 0273-0979(1984)15299-6




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