Lectures on Lyapunov Exponents 1st Edition Marcelo Viana 1316055590 9781316055595

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Product details:

• ISBN 10: 1316055590
• ISBN 13: 9781316055595
• Author: Marcelo Viana

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.

Table of contents:

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

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