Lectures on Lyapunov exponents / Marcelo Viana.
Material type:
TextSeries: Cambridge studies in advanced mathematics ; 145.Publication details: Cambridge : Cambridge University Press, 2014.Description: xiv, 202 p. : illustrations ; 24 cmISBN: - 9781107081734 (hardback)
- 512.922 23 V614
| Item type | Current library | Call number | Status | Date due | Barcode | Item holds | |
|---|---|---|---|---|---|---|---|
| Books | ISI Library, Kolkata | 512.922 V614 (Browse shelf(Opens below)) | Available | 136293 |
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| 512.922 M346 Areas and logarithms | 512.922 M346 Areas and logarithms | 512.922 Se464 Logarithms self-taught | 512.922 V614 Lectures on Lyapunov exponents / | 512.922 W673 Realizations of polylogarithms | 512.924 B167 Pade approximations | 512.924 B167 Pade approximations |
Includes bibliographical references (pages 191-197) and index.
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.
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.
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