Introduction to smooth ergodic theory / Luis Barreira, Yakov Pesin.

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Bibliographic Details
Main Author: Barreira, Luís, 1968-
Other Authors: Pesin, Ya. B.
Language:English
Published: Providence, Rhode Island : American Mathematical Society, [2013]
Series:Graduate studies in mathematics ; v. 148.
Subjects:
Ergodic theory.
Topological dynamics.
Physical Description:ix, 277 pages : illustrations ; 26 cm.
Format: Book
Contents:
  • 1. Examples of hyperbolic dynamical systems
  • 2. General theory of Lyapunov exponents
  • 3. Lyapunov stability theory of nonautonomous equations
  • 4. Elements of the nonuniform hyyperbolicity theory
  • 5. Cocycles over dynamical systems
  • 6. The Multiplicative Ergodic Theorem
  • 7. Local manifold theory
  • 8. Absolute continuity of local manifolds
  • 9. Ergodic properties of smooth hyperbolic measures
  • 10. Geodesic flows on surfaces of nonpositive curvature
  • 11. Cone technics
  • 12. Partially hyperbolic diffeomorphisms with nonzero exponents
  • 13. More examples of dynamical systems with nonzero Lyapunov exponents
  • 14. Anosov rigidity
  • 15. C¹ pathological behavior: Pugh's example.