Lectures on Lyapunov exponents

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 signific...

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Bibliographic Details
Main Author: Viana, Marcelo
Format: eBook
Language:English
Published: Cambridge Cambridge University Press 2014
Series:Cambridge studies in advanced mathematics
Subjects:
Online Access:
Collection: Cambridge Books Online - Collection details see MPG.ReNa
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245 0 0 |a Lectures on Lyapunov exponents  |c Marcelo Viana, Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro 
260 |a Cambridge  |b Cambridge University Press  |c 2014 
300 |a xiv, 202 pages  |b digital 
505 0 |a Machine generated contents note: 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 
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082 0 |a 515.48 
520 |a 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