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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.Read more
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- Ergodic theory is a topical subject (chaos)
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"...contains numerous simple examples which help the uninitiated reader to get a good idea of the relevance of the theorems..." Nicolai Haydn, Mathematical Reviews
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- Date Published: February 1993
- format: Paperback
- isbn: 9780521435932
- length: 172 pages
- dimensions: 227 x 151 x 11 mm
- weight: 0.29kg
- contains: 35 b/w illus.
- availability: Available
Table of Contents
1. Invariant measures and some ergodic theory
2. Ergodic theory for manifolds and Liapunov exponents
4. The Pesin set
5. Closing lemmas and periodic points
6. Structure of 'chaotic' diffeomorphisms
7. Stable manifolds and more measure theory
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