Introduction to smooth ergodic theory / Luis Barreira, Yakov Pesin

Author: Barreira, Luís, 1968-
Published: Providence, Rhode Island : American Mathematical Society, [2013]
Copyright Date: © 2013
Physical Description: ix, 277 pages : illustrations ; 26 cm.
Additional Creators: Pesin, Ya. B.

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Series

Graduate studies in mathematics ; v. 148

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.

Subject(s)

ISBN

9780821898536 (alk. paper)
0821898531 (alk. paper)

Bibliography Note

Includes bibliographical references (pages 267-271) and index.

View MARC record | catkey: 10406915