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Introduction to smooth ergodic theory /
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Catalogue Information
Field name
Details
Dewey Class
515/.39
Title
Introduction to smooth ergodic theory / ([EBook] ) / Luis Barreira, Yakov Pesin.
Author
Barreira, Luis, , 1968-
Added Personal Name
Pesin, Ya. B.
Publication
Providence, Rhode Island : : American Mathematical Society, , [2013]
Physical Details
1 online resource (ix, 277 pages : 26 cm.)
Series
Graduate studies in mathematics
; 148
ISBN
9781470409722 (online)
Contents note
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:
Mode of acces to digital resource
Electronic reproduction. Providence, Rhode Island : American Mathematical Society. 2013
Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher). Available as searchable text in PDF format.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://www.ams.org/gsm/148
See Also
https://doi.org/10.1090/gsm/148
Links to Related Works
Subject References:
Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.)
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Dynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Smooth ergodic theory, invariant measures
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Ergodic theory
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Topological dynamics
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Authors:
Barreira, Luis, 1968-
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Pesin, Ya. B.
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Series:
Graduate studies in mathematics
.
Classification:
515/.39
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