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" Introduction to smooth ergodic theory / "
Luis Barreira, Yakov Pesin
Document Type
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BL
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Record Number
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637281
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Doc. No
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dltt
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Main Entry
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Barreira, Luis,1968-
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Title & Author
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Introduction to smooth ergodic theory /\ Luis Barreira, Yakov Pesin
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Series Statement
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Graduate studies in mathematics ;; volume 148
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Page. NO
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ix, 277 pages :: ill. ; 26 cm
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ISBN
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9780821898536 (alk. paper)
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: 0821898531 (alk. paper)
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Bibliographies/Indexes
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Includes bibliographical references (pages 267-271) and index
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Contents
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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
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Subject
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Ergodic theory
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Subject
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Topological dynamics
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Dewey Classification
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515/.39
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LC Classification
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QA611.5.B37 2013
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QA611.5.B37 2013
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Added Entry
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Pesin, Ya. B
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