Lectures On Ergodic Theory And Pesin Theory On Compact Manifolds by Mark PollicottLectures On Ergodic Theory And Pesin Theory On Compact Manifolds by Mark Pollicott

Lectures On Ergodic Theory And Pesin Theory On Compact Manifolds

byMark Pollicott

Paperback | February 26, 1993

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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.
Title:Lectures On Ergodic Theory And Pesin Theory On Compact ManifoldsFormat:PaperbackDimensions:172 pages, 8.98 × 5.98 × 0.39 inPublished:February 26, 1993Publisher:Cambridge University Press

The following ISBNs are associated with this title:

ISBN - 10:0521435935

ISBN - 13:9780521435932

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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.

Editorial Reviews

"...contains numerous simple examples which help the uninitiated reader to get a good idea of the relevance of the theorems..." Nicolai Haydn, Mathematical Reviews