Characteristic lyapunov exponents and smooth ergodic theory

Research output: Contribution to journalArticle

912 Citations (Scopus)

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 languageEnglish (US)
Pages (from-to)55-114
Number of pages60
JournalRussian Mathematical Surveys
Volume32
Issue number4
DOIs
StatePublished - Aug 31 1977

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Characteristic Exponents
Ergodic Theory
Lyapunov Exponent
Dynamical system
Geodesic Flow
Diffeomorphism
Ergodicity
Foliation
Riemannian Manifold
Exponent
Entropy
Partition
Closed

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

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Characteristic lyapunov exponents and smooth ergodic theory. / Pesin, Yakov B.

In: Russian Mathematical Surveys, Vol. 32, No. 4, 31.08.1977, p. 55-114.

Research output: Contribution to journalArticle

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