Lectures on Lyapunov Exponents

Marcelo Viana (IMPA, Rio de Janeiro)

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Hardback

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English

Cambridge University Press
24 July 2014

Calculus & mathematical analysis; Differential calculus & equations; Chaos theory

Series: Cambridge Studies in Advanced Mathematics

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.

By: Marcelo Viana (IMPA Rio de Janeiro)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 145
Dimensions: Height: 236mm, Width: 157mm, Spine: 16mm
Weight: 450g
ISBN: 9781107081734
ISBN 10: 1107081734
Series: Cambridge Studies in Advanced Mathematics
Pages: 215
Publication Date: 24 July 2014
Audience: Professional and scholarly , Undergraduate
Format: Hardback
Publisher's Status: Active

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.

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