Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds / Mark Pollicott.
Material type:
TextSeries: London Mathematical Society Lecture Note Series ; no. 180Publisher: Cambridge : Cambridge University Press, 1993Description: 1 online resource (172 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511752537 (ebook)Other title: Lectures on Ergodic Theory & Pesin Theory on Compact ManifoldsSubject(s): Ergodic theory | Manifolds (Mathematics)Additional physical formats: Print version: : No titleDDC classification: 515/.42 LOC classification: QA614 | .P65 1993Online resources: Click here to access online Summary: 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.
E-BOOKS
| Current library | Home library | Call number | Materials specified | URL | Status | Date due | Barcode |
|---|---|---|---|---|---|---|---|
| IMSc Library | IMSc Library | Link to resource | Available | EBK12113 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
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