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＜E-Book＞
Introduction to smooth ergodic theory / Luis Barreira, Yakov Pesin
(Graduate Studies in Mathematics ; v. 148)

Publisher	(Providence, Rhode Island : American Mathematical Society)
Year	[2013]
Size	1 online resource (ix, 277 pages : 26 cm.)
Authors	*Barreira, Luis 1968- Pesin, Ya. B
Subjects	LCSH:Ergodic theory LCSH:Topological dynamics FREE:Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)  All Subject Search FREE:Dynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Smooth ergodic theory, invariant measures  All Subject Search
Contents	Chapter 1. Examples of hyperbolic dynamical systems Chapter 2. General theory of Lyapunov exponents Chapter 3. Lyapunov stability theory of nonautonomous equations Chapter 4. Elements of the nonuniform hyperbolicity theory Chapter 5. Cocycles over dynamical systems Chapter 6. The Multiplicative Ergodic Theorem Chapter 7. Local manifold theory Chapter 8. Absolute continuity of local manifolds Chapter 9. Ergodic properties of smooth hyperbolic measures Chapter 10. Geodesic flows on surfaces of nonpositive curvature Chapter 11. Cone technics Chapter 12. Partially hyperbolic diffeomorphisms with nonzero exponents Chapter 13. More examples of dynamical systems with nonzero Lyapunov exponents Chapter 14. Anosov rigidity Chapter 15. $C^1$ pathological behavior: Pugh's example
Notes	Includes bibliographical references (pages 267-271) and index Access is restricted to licensed institutions Electronic reproduction Providence, Rhode Island American Mathematical Society 2013 Mode of access : World Wide Web Description based on print version record HTTP:URL=http://www.ams.org/gsm/148 Information=Contents HTTP:URL=https://doi.org/10.1090/gsm/148 Information=Contents

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