Lectures on Lyapunov exponents
Author(s)
Bibliographic Information
Lectures on Lyapunov exponents
（Cambridge studies in advanced mathematics, 145）
Cambridge University Press, 2014
- : hardback
Available at / 35 libraries
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Library, Research Institute for Mathematical Sciences, Kyoto University数研
: hardbackS||CSAM||145200029530301
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Hokkaido University, Library, Graduate School of Science, Faculty of Science and School of Science数学
: hardback/V 6542080350596
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Note
Includes bibliographical references (p. 191-197) and index
Description and Table of Contents
Description
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
- 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.
by "Nielsen BookData"
