Characteristic lyapunov exponents and smooth ergodic theory

Ya B. Pesin

doi:10.1070/RM1977v032n04ABEH001639

Characteristic lyapunov exponents and smooth ergodic theory

Ya B. Pesin

Research output: Contribution to journal › Article › peer-review

1216 Scopus citations

Abstract

CONTENTSPart I §1. Introduction §2. Prerequisites from ergodic theory §3. Basic properties of the characteristic exponents of dynamical systems §4. Properties of local stable manifoldsPart 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 pointsReferences.

Original language	English (US)
Pages (from-to)	55-114
Number of pages	60
Journal	Russian Mathematical Surveys
Volume	32
Issue number	4
DOIs	https://doi.org/10.1070/RM1977v032n04ABEH001639
State	Published - Aug 31 1977

All Science Journal Classification (ASJC) codes

General Mathematics

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10.1070/RM1977v032n04ABEH001639

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AB - CONTENTSPart I §1. Introduction §2. Prerequisites from ergodic theory §3. Basic properties of the characteristic exponents of dynamical systems §4. Properties of local stable manifoldsPart 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 pointsReferences.

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Characteristic lyapunov exponents and smooth ergodic theory

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