Lectures on Lyapunov Exponents

by Marcelo Viana

Overview

The theory of Lyapunov exponents originated over a century ago in the study of the stability of solutions of differential equations. Written by one of the subject's leading authorities, this book is both an account of the classical theory, from a modern view, and an introduction to the significant developments relating the subject to dynamical systems, ergodic theory, mathematical physics and probability. It is based on the author's own graduate course and is reasonably self-contained with an extensive set of exercises provided at the end of each chapter. This book makes a welcome addition to the literature, serving as a graduate text and a valuable reference for researchers in the field.

Product Details

ISBN-13:	9781107081734
Publisher:	Cambridge University Press
Publication date:	07/24/2014
Series:	Cambridge Studies in Advanced Mathematics , #145
Pages:	215
Product dimensions:	6.18(w) x 9.29(h) x 0.63(d)

About the Author

Marcelo Viana is Professor of Mathematics at the Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro.

Table of Contents

Preface; 1. Introduction; 2. Linear cocycles; 3. Extremal Lyapunov exponents; 4. Multiplicative ergodic theorem; 5. Stationary measures; 6. Exponents and invariant measures; 7. Invariance principle; 8. Simplicity; 9. Generic cocycles; 10. Continuity; References; Index.