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	Nicht verfügbar
ISBN 13	9780521435932
ISBN 10	0521435935
Titel	Lectures on Ergodic Theory and Pesin Theory on Compact Manifolds
Autor	Mark Pollicott
Serie	London Mathematical Society Lecture Note Series
Buchzustand	Nicht verfügbar
Bindungsart	Paperback
Verlag	Cambridge University Press
Erscheinungsjahr	1993-02-04
Seitenanzahl	172
Hinweis auf dem Einband	Die Abbildung des Buches dient nur Illustrationszwecken, die tatsächliche Bindung, das Cover und die Auflage können sich davon unterscheiden.
Hinweis	Nicht verfügbar