Book review of: L. Barreira and Y. Pesin, Introduction to smooth ergodic theory

DOI10.1365/S13291-014-0105-7zbMath1341.00030OpenAlexW1245469206WikidataQ125296520 ScholiaQ125296520MaRDI QIDQ2351704

Gerhard Knieper

Publication date: 26 June 2015

Published in: Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1365/s13291-014-0105-7

Mathematics Subject Classification ID

Introductory exposition (textbooks, tutorial papers, etc.) pertaining to dynamical systems and ergodic theory (37-01) Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.) (37D25) Dimension theory of smooth dynamical systems (37C45) External book reviews (00A17)

Cites Work

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• The uniqueness of the measure of maximal entropy for geodesic flows on rank 1 manifolds
• On the asymptotic geometry of nonpositively curved manifolds
• Geodesic flow on the two-sphere, Part I: Positive measure entropy
• CHARACTERISTIC LYAPUNOV EXPONENTS AND SMOOTH ERGODIC THEORY
• Every compact manifold carries a completely hyperbolic diffeomorphism

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