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	Unavailable
ISBN 13	9780521435932
ISBN 10	0521435935
Title	Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds
Author	Mark Pollicott
Series	London Mathematical Society Lecture Note Series
Condition	Unavailable
Binding Type	Paperback
Publisher	Cambridge University Press
Year published	1993-02-04
Number of pages	172
Cover note	Book picture is for illustrative purposes only, actual binding, cover or edition may vary.
Note	Unavailable