Lectures on Lyapunov exponents
著者
書誌事項
Lectures on Lyapunov exponents
（Cambridge studies in advanced mathematics, 145）
Cambridge University Press, 2014
- : hardback
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注記
Includes bibliographical references (p. 191-197) and index
内容説明・目次
内容説明
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.
目次
- 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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