Characteristic Lyapunov Exponents and Smooth Ergodic Theory
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 πpartition § 7. Ergodicity of a diffeomorphism with nonzero exponents on a set of positive measure. The Kproperty § 8. The Bernoullian property § 9. Flows § 10. Geodesic flows on closed Riemannian manifolds without focal pointsReferences
 Publication:

Russian Mathematical Surveys
 Pub Date:
 August 1977
 DOI:
 10.1070/RM1977v032n04ABEH001639
 Bibcode:
 1977RuMaS..32...55P