Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds
Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds
Mark Pollicott
February 1993
Paperback
9780521435932
$51.99
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Pesin theory consists of the study of the theory of non-uniformly hyperbolic diffeomorphisms. The aim of this book is to provide the reader with a straightforward account of this theory, following the approaches of Katok and Newhouse. Emphasis is placed on generality and on the crucial role of measure theory, although no specialist knowledge of this subject is required.
- No competing titles
- Ergodic theory is a topical subject (chaos)
Reviews & endorsements
"...contains numerous simple examples which help the uninitiated reader to get a good idea of the relevance of the theorems..." Nicolai Haydn, Mathematical Reviews
Product details
February 1993Paperback
9780521435932
172 pages
227 × 151 × 11 mm
0.29kg
35 b/w illus.
Available
Table of Contents
- 1. Invariant measures and some ergodic theory
- 2. Ergodic theory for manifolds and Liapunov exponents
- 3. Entropy
- 4. The Pesin set
- 5. Closing lemmas and periodic points
- 6. Structure of 'chaotic' diffeomorphisms
- 7. Stable manifolds and more measure theory
- Appendix.
