Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds

ISBN-13: 9780521435932 / Angielski / Miękka / 1993 / 172 str.

Mark Pollicott

Opis

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.

Recenzje

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

Spis treści

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.