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Lectures on Lyapunov Exponents


Part of Cambridge Studies in Advanced Mathematics

  • Date Published: July 2014
  • availability: Available
  • format: Hardback
  • isbn: 9781107081734
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About the Authors
  • 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.

    • Based on graduate courses taught by the author
    • Serves as a valuable reference for researchers in the field
    • Includes more than 100 end-of-chapter exercises
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    Customer reviews

    25th Dec 2014 by Nathan100

    I order 1one Lectures on Lyapunov exponents The book is very good

    Review was not posted due to profanity


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    Product details

    • Date Published: July 2014
    • format: Hardback
    • isbn: 9781107081734
    • length: 215 pages
    • dimensions: 236 x 157 x 16 mm
    • weight: 0.45kg
    • contains: 8 b/w illus. 105 exercises
    • availability: Available
  • Table of Contents

    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

  • Author

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

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