Introduction to smooth ergodic theory /
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| Author / Creator: | Barreira, Luis, 1968- |
|---|---|
| Imprint: | Providence, Rhode Island : American Mathematical Society, [2013] © 2013 |
| Description: | ix, 277 pages : ill. ; 26 cm |
| Language: | English |
| Series: | Graduate studies in mathematics ; volume 148 Graduate studies in mathematics ; v. 148. |
| Subject: | |
| Format: | Print Book |
| URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/10307400 |
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| 100 | 1 | |a Barreira, Luis, |d 1968- |0 http://id.loc.gov/authorities/names/n2001008268 |1 http://viaf.org/viaf/59318792 | |
| 245 | 1 | 0 | |a Introduction to smooth ergodic theory / |c Luis Barreira, Yakov Pesin. |
| 264 | 1 | |a Providence, Rhode Island : |b American Mathematical Society, |c [2013] | |
| 264 | 4 | |c © 2013 | |
| 300 | |a ix, 277 pages : |b ill. ; |c 26 cm | ||
| 336 | |a text |2 rdacontent |0 http://id.loc.gov/vocabulary/contentTypes/txt | ||
| 337 | |a unmediated |2 rdamedia |0 http://id.loc.gov/vocabulary/mediaTypes/n | ||
| 338 | |a volume |2 rdacarrier |0 http://id.loc.gov/vocabulary/carriers/nc | ||
| 490 | 1 | |a Graduate studies in mathematics ; |v volume 148 | |
| 504 | |a Includes bibliographical references (pages 267-271) and index. | ||
| 505 | 0 | |a 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. | |
| 650 | 0 | |a Ergodic theory. |0 http://id.loc.gov/authorities/subjects/sh85044600 | |
| 650 | 0 | |a Topological dynamics. |0 http://id.loc.gov/authorities/subjects/sh85136080 | |
| 650 | 7 | |a Dynamical systems and ergodic theory -- Dynamical systems with hyperbolic behavior -- Nonuniformly hyperbolic systems (Lyapunov exponents, Pesin theory, etc.). |2 msc | |
| 650 | 7 | |a Dynamical systems and ergodic theory -- Smooth dynamical systems: general theory -- Smooth ergodic theory, invariant measures. |2 msc | |
| 650 | 7 | |a Ergodic theory. |2 fast |0 http://id.worldcat.org/fast/fst00914656 | |
| 650 | 7 | |a Topological dynamics. |2 fast |0 http://id.worldcat.org/fast/fst01152680 | |
| 700 | 1 | |a Pesin, Ya. B. |0 http://id.loc.gov/authorities/names/no96000585 |1 http://viaf.org/viaf/19915267 | |
| 830 | 0 | |a Graduate studies in mathematics ; |v v. 148. | |
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