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OverviewPesin 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. Full Product DetailsAuthor: Mark PollicottPublisher: Cambridge University Press Imprint: Cambridge University Press (Virtual Publishing) Volume: 180 ISBN: 9780511752537ISBN 10: 0511752539 Publication Date: 05 May 2013 Audience: Professional and scholarly , Professional & Vocational Format: Undefined Publisher's Status: Active Availability: In stock We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately. Table of ContentsReviews"""...contains numerous simple examples which help the uninitiated reader to get a good idea of the relevance of the theorems..."" Nicolai Haydn, Mathematical 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 ...contains numerous simple examples which help the uninitiated reader to get a good idea of the relevance of the theorems... Nicolai Haydn, Mathematical Reviews Author InformationTab Content 6Author Website:Countries AvailableAll regions |