Lectures on Lyapunov exponents / Marcelo Viana, Instituto Nacional de Matemática Pura e Aplicada (IMPA), Rio de Janeiro.

Format:

Book

Author/Creator:

Viana, Marcelo, author.

Series:

Cambridge studies in advanced mathematics ; 145.

Cambridge studies in advanced mathematics ; 145

Language:

English

Subjects (All):

Lyapunov exponents.

Physical Description:

xiv, 202 pages ; 24 cm.

Place of Publication:

Cambridge ; New York : Cambridge University Press, 2014.

Summary:

"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"-- Provided by publisher.

Contents:

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.

Notes:

Includes bibliographical references and index.

ISBN:

9781107081734

1107081734

OCLC:

880929995