ENGLISH

Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds

By Mark Pollicott

Book information

Publisher
Cambridge University Press
Year
1993
ISBN
0521435935, 978-0-521-43593-2, 9780511752537, 0511752539
Language
english
Format
DJVU
Filesize
932 kB (954526 bytes)
Series
London Mathematical Society lecture note series 180
Edition
1
Pages
172\171
Library
kolxoz
Time added
2017-10-15 16:00:00

Description

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 Content: 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.

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