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CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
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CONTENTS Part I § 1. Introduction § 2. Prerequisites from ergodic theory § 3. Basic properties of the characteristic exponents of dynamical systems § 4. Properties of local stable manifolds Part II § 5. The entropy of smooth dynamical systems § 6. "Measurable foliations". Description of the π-partition § 7. Ergodicity of a diffeomorphism with non-zero exponents on a set of positive measure. The K -property § 8. The Bernoullian property § 9. Flows § 10. Geodesic flows on closed Riemannian manifolds without focal points References
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Citations
Cited by
Ergodic theory of chaos and strange attractors
Eckmann, J. P., & Ruelle, D. (1985) · Reviews of Modern Physics · doi:10.1103/revmodphys.57.617 · Cited by 4,941
Lyapunov exponents, entropy and periodic orbits for diffeomorphisms
Katok, A. (1980) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684777 · Cited by 935
Baptista, M. S. (1998) · Physics Letters A · doi:10.1016/s0375-9601(98)00086-3 · Cited by 885
Lectures on Spaces of Nonpositive Curvature
Ballmann, W. (1995) · Birkhäuser Basel eBooks · doi:10.1007/978-3-0348-9240-7 · Cited by 513
The Metric Entropy of Diffeomorphisms: Part II: Relations between Entropy, Exponents and Dimension
Ledrappier, F., & Young, L.-S. (1985) · The Annals of Mathematics · doi:10.2307/1971329 · Cited by 361
Metadata
- Authors
- Pesin, Y. B.
- Venue
- Russian Mathematical Surveys
- Publisher
- Steklov Mathematical Institute
- Published
- 1977-08-31
- Volume
- 32
- Issue
- 4
- Pages
- 55-114
- ISSN
- 0036-0279 (ISSN-L)
- 1468-4829
- OpenAlex
- W2000983461
- Cited by
- 1,404
- References
- 0
- FWCI
- 7.34
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Pesin, Y. B. (1977). CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY. Russian Mathematical Surveys. https://doi.org/10.1070/rm1977v032n04abeh001639
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