Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds by Mark Pollicott

Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds by Mark Pollicott

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. The notes are divided into two parts. The first develops the basic theory, starting with general ergodic theory and introducing Liapunov exponents. Part Two deals with the applications of Pesin theory and contains an account of the existence (and distribution) of periodic points. It closes with a look at stable manifolds, and gives some results on absolute continuity. These lecture notes provide a unique introduction to Pesin theory and its applications. The author assumes that the reader has only a good background of undergraduate analysis and nothing further, so making the book accessible to complete newcomers to the field.

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

SKU	Non disponible
ISBN 13	9780521435932
ISBN 10	0521435935
Titre	Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds
Auteur	Mark Pollicott
Série	London Mathematical Society Lecture Note Series
État	Non disponible
Type de reliure	Paperback
Éditeur	Cambridge University Press
Année de publication	1993-02-04
Nombre de pages	172
Note de couverture	La photo du livre est présentée à titre d'illustration uniquement. La reliure, la couverture ou l'édition réelle peuvent varier.
Note	Non disponible