The DOI matches its Crossref record; 12 of the 12 references it cites were found in a registry or an index.
The Metric Entropy of Diffeomorphisms: Part II: Relations between Entropy, Exponents and Dimension
Abstract
F. Ledrappier, L.-S. Young, The Metric Entropy of Diffeomorphisms: Part II: Relations between Entropy, Exponents and Dimension, Annals of Mathematics, Second Series, Vol. 122, No. 3 (Nov., 1985), pp. 540-574
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Citations
Cites
CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
Pesin, Y. B. (1977) · Russian Mathematical Surveys · doi:10.1070/rm1977v032n04abeh001639 · Cited by 1,404
Ergodic Theory and Information
S., D., & Billingsley, P. (1966) · Mathematics of Computation · doi:10.2307/2003618 · Cited by 1,070
Ergodic Theory and Information
Révész, P., Billingsley, P., & Revesz, P. (1966) · Revue de l'Institut International de Statistique / Review of the International Statistical Institute · doi:10.2307/1401263 · Cited by 864
Ergodic theory of differentiable dynamical systems
Ruelle, D. (1979) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684768 · Cited by 663
Dimension, entropy and Lyapunov exponents
Young, L.-S. (1982) · Ergodic Theory and Dynamical Systems · doi:10.1017/s0143385700009615 · Cited by 633
Self-citationThe liapunov dimension of strange attractors
Frederickson, P., Kaplan, J. L., Yorke, E. D., & Yorke, J. A. (1983) · Journal of Differential Equations · doi:10.1016/0022-0396(83)90011-6 · Cited by 532
An inequality for the entropy of differentiable maps
Ruelle, D. (1978) · Boletim da Sociedade Brasileira de Matemática · doi:10.1007/bf02584795 · Cited by 440
Brin, M., & Katok, A. (1983) · Lecture Notes in Mathematics · doi:10.1007/bfb0061408 · Cited by 339
A proof of the estimation from below in Pesin's entropy formula
Ledrappier, F., & Strelcyn, J.-M. (1982) · Ergodic Theory and Dynamical Systems · doi:10.1017/s0143385700001528 · Cited by 177
Self-citationSome relations between dimension and Lyapounov exponents
Ledrappier, F. (1981) · Communications in Mathematical Physics · doi:10.1007/bf01208896 · Cited by 161
Self-citation
Cited by
Chemical and biological activity in open flows: A dynamical system approach
Tél, T., de Moura, A., Grebogi, C., & Károlyi, G. (2005) · Physics Reports · doi:10.1016/j.physrep.2005.01.005 · Cited by 208
Topological and Dynamical Complexity of Random Neural Networks
Wainrib, G., & Touboul, J. (2013) · Physical Review Letters · doi:10.1103/physrevlett.110.118101 · Cited by 124
Metadata
- Authors
- Ledrappier, F., & Young, L.-S.
- Venue
- The Annals of Mathematics
- Publisher
- JSTOR
- Published
- 1985-11
- Volume
- 122
- Issue
- 3
- Pages
- 540
- ISSN
- 0003-486X (ISSN-L)
- OpenAlex
- W2334384374
- Cited by
- 361
- References
- 12
- FWCI
- 2.46
- Type
- journal article
- Language
- en
- Open access
- closed
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- Ledrappier, F., & Young, L.-S. (1985). The Metric Entropy of Diffeomorphisms: Part II: Relations between Entropy, Exponents and Dimension. The Annals of Mathematics. https://doi.org/10.2307/1971329
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