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Lectures on Lyapunov Exponents

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Lectures on Lyapunov Exponents

Lectures on Lyapunov Exponents

Marcelo Viana, IMPA, Rio de Janeiro
September 2014
Hardback
9781107081734
$76.99
USD
Hardback
USD
eBook
    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.

    • 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

    Product details

    July 2014
    Adobe eBook Reader
    9781316057964
    0 pages
    0kg
    8 b/w illus. 105 exercises
    This ISBN is for an eBook version which is distributed on our behalf by a third party.

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    Contents

    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.
      • Show more
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    About the authors
      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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