The metric entropy of diffeomorphisms

Bulletin of the American Mathematical Society

Volumn 11, Issue 2, 1984, Pages 343-346

  Ledrappier, F ^a,b,c   Young, L S ^a,b,c  

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

^b MATHEMATICAL SCIENCES RESEARCH INSTITUTE   (United States)

^c MICHIGAN STATE UNIVERSITY   (United States)

Author keywords

Dimension; Entropy; Lyapunov exponents; Unstable manifold

Indexed keywords

EID: 84968468661     PISSN: 02730979     EISSN: None     Source Type: Journal    
DOI: 10.1090/S0273-0979-1984-15299-6     Document Type: Article

References (8)

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3. F. Ledrappier and J. M. Strelyn, A proof of the estimation from below in Pesin entropy formula, Ergodic Theory Dynamical Systems (to appear).
4. Y. I. Oseledec, A multiplicative ergodic theorem, Lyapunov characteristic numbers for dynamical systems, Trudy Moskov. Mat. Obsc. 19 (1968), 179–210.
5. J. Pesin, Characteristic Ljapunov exponents and smooth ergodic theory, Uspekhi. Mat. Nauk 32 (1977), no. 4 (196), 55–112, 287. (Russian)
6. V. A. Rohlin, On the fundamental ideas of measure theory, Amer. Math. Soc. Transl. (2) 10 (1962), pp. 1–54.
7. D. Ruelle, Ergodic theory of differentiable dynamical systems, Inst. Hautes Études Sci. Publ. Math. 50 (1979), 27–58.
8. L.-S. Young, Dimension, entropy and Lyapunov exponents, Ergodic Theory Dynamical Systems 2 (1982), 109–124.