Screen LibraryIntroduction to smooth ergodic theory /
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| Main Authors: | |
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| Group Author: | |
| Published: |
American Mathematical Society,
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| Publisher Address: | Providence, Rhode Island : |
| Publication Dates: | [2013] |
| Literature type: | Book |
| Language: | English |
| Series: |
Graduate studies in mathematics ; v. 148. |
| Subjects: | |
| Carrier Form: | ix, 277 pages : illustrations ; 26 cm. |
| Bibliography: | Includes bibliographical references (pages 267-271) and index. |
| ISBN: |
9780821898536 (hardback : alkaline paper) : 0821898531 (hardback : alkaline paper) |
| Index Number: | QA611 |
| CLC: |
O193 O177.99 |
| Call Number: | O177.99/B271 |
| 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. |